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132656146631040 = 273583832430639
BaseRepresentation
bin11110001010011001101010…
…011111110100100110000000
3122101200210200221111120111110
4132022121222133310212000
5114341414242014143130
61150045220434243320
736641042656434444
oct3612315237644600
9571623627446443
10132656146631040
11392a517948651a
1212a65797126540
135903561aa1b56
1424a883dac0824
151050a566d7ab0
hex78a66a7f4980

132656146631040 has 128 divisors (see below), whose sum is σ = 427935943411200. Its totient is φ = 34948767905792.

The previous prime is 132656146630939. The next prime is 132656146631059. The reversal of 132656146631040 is 40136641656231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416055960 + ... + 416374679.

It is an arithmetic number, because the mean of its divisors is an integer number (3343249557900).

Almost surely, 2132656146631040 is an apocalyptic number.

132656146631040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132656146631040 is an abundant number, since it is smaller than the sum of its proper divisors (295279796780160).

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

132656146631040 is an equidigital number, since it uses as much as digits as its factorization.

132656146631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832430744 (or 832430732 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 132656146631040 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred forty-six million, six hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 320 332 384 415 480 498 640 664 830 960 996 1245 1328 1660 1920 1992 2490 2656 3320 3984 4980 5312 6640 7968 9960 10624 13280 15936 19920 26560 31872 39840 53120 79680 159360 832430639 1664861278 2497291917 3329722556 4162153195 4994583834 6659445112 8324306390 9989167668 12486459585 13318890224 16648612780 19978335336 24972919170 26637780448 33297225560 39956670672 49945838340 53275560896 66594451120 69091743037 79913341344 99891676680 106551121792 133188902240 138183486074 159826682688 199783353360 207275229111 266377804480 276366972148 319653365376 345458715185 399566706720 414550458222 532755608960 552733944296 690917430370 799133413440 829100916444 1036376145555 1105467888592 1381834860740 1598266826880 1658201832888 2072752291110 2210935777184 2763669721480 3316403665776 4145504582220 4421871554368 5527339442960 6632807331552 8291009164440 8843743108736 11054678885920 13265614663104 16582018328880 22109357771840 26531229326208 33164036657760 44218715543680 66328073315520 132656146631040