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132525380200368 = 24331593893880561
BaseRepresentation
bin11110001000011111111000…
…001101011110011110110000
3122101020022011121101121122110
4132020133320031132132300
5114332243434312402433
61145505152540005320
736625433315216361
oct3610377015363660
9571208147347573
10132525380200368
1139254775214711
1212a44381830840
1358c412219bc5c
1424a2396907b68
15104c45142d963
hex7887f835e7b0

132525380200368 has 160 divisors (see below), whose sum is σ = 360314838374400. Its totient is φ = 41917498675200.

The previous prime is 132525380200349. The next prime is 132525380200429. The reversal of 132525380200368 is 863002083525231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32210808 + ... + 36091368.

It is an arithmetic number, because the mean of its divisors is an integer number (2251967739840).

Almost surely, 2132525380200368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132525380200368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180157419187200).

132525380200368 is an abundant number, since it is smaller than the sum of its proper divisors (227789458174032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132525380200368 is a wasteful number, since it uses less digits than its factorization.

132525380200368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881051 (or 3881045 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 132525380200368 in words is "one hundred thirty-two trillion, five hundred twenty-five billion, three hundred eighty million, two hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 59 62 93 118 124 177 186 236 248 354 372 389 472 496 708 744 778 944 1167 1416 1488 1556 1829 2334 2832 3112 3658 4668 5487 6224 7316 9336 10974 12059 14632 18672 21948 22951 24118 29264 36177 43896 45902 48236 68853 72354 87792 91804 96472 137706 144708 183608 192944 275412 289416 367216 550824 578832 711481 1101648 1422962 2134443 2845924 3880561 4268886 5691848 7761122 8537772 11383696 11641683 15522244 17075544 23283366 31044488 34151088 46566732 62088976 93133464 120297391 186266928 228953099 240594782 360892173 457906198 481189564 686859297 721784346 915812396 962379128 1373718594 1443568692 1509538229 1831624792 1924758256 2747437188 2887137384 3019076458 3663249584 4528614687 5494874376 5774274768 6038152916 7097546069 9057229374 10989748752 12076305832 14195092138 18114458748 21292638207 24152611664 28390184276 36228917496 42585276414 46795685099 56780368552 72457834992 85170552828 89062755511 93591370198 113560737104 140387055297 170341105656 178125511022 187182740396 267188266533 280774110594 340682211312 356251022044 374365480792 534376533066 561548221188 712502044088 748730961584 1068753066132 1123096442376 1425004088176 2137506132264 2246192884752 2760945420841 4275012264528 5521890841682 8282836262523 11043781683364 16565672525046 22087563366728 33131345050092 44175126733456 66262690100184 132525380200368