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132641520 = 243511471069
BaseRepresentation
bin1111110011111…
…11001011110000
3100020120212221220
413321333023300
5232424012040
621054545040
73200301654
oct771771360
9306525856
10132641520
11689665a0
1238508180
1321631c0b
141388aa64
15b9a12d0
hex7e7f2f0

132641520 has 160 divisors (see below), whose sum is σ = 458542080. Its totient is φ = 31441920.

The previous prime is 132641503. The next prime is 132641533. The reversal of 132641520 is 25146231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 123546 + ... + 124614.

It is an arithmetic number, because the mean of its divisors is an integer number (2865888).

Almost surely, 2132641520 is an apocalyptic number.

132641520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229271040).

132641520 is an abundant number, since it is smaller than the sum of its proper divisors (325900560).

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

132641520 is a wasteful number, since it uses less digits than its factorization.

132641520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 132641520 is about 11517.0100286489. The cubic root of 132641520 is about 509.9878505372.

Adding to 132641520 its reverse (25146231), we get a palindrome (157787751).

The spelling of 132641520 in words is "one hundred thirty-two million, six hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 264 282 330 376 440 470 517 528 564 660 705 752 880 940 1034 1069 1128 1320 1410 1551 1880 2068 2138 2256 2585 2640 2820 3102 3207 3760 4136 4276 5170 5345 5640 6204 6414 7755 8272 8552 10340 10690 11280 11759 12408 12828 15510 16035 17104 20680 21380 23518 24816 25656 31020 32070 35277 41360 42760 47036 50243 51312 58795 62040 64140 70554 85520 94072 100486 117590 124080 128280 141108 150729 176385 188144 200972 235180 251215 256560 282216 301458 352770 401944 470360 502430 552673 564432 602916 705540 753645 803888 940720 1004860 1105346 1205832 1411080 1507290 1658019 2009720 2210692 2411664 2763365 2822160 3014580 3316038 4019440 4421384 5526730 6029160 6632076 8290095 8842768 11053460 12058320 13264152 16580190 22106920 26528304 33160380 44213840 66320760 132641520