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131520132 = 22331398761
BaseRepresentation
bin1111101011011…
…01011010000100
3100011110220201000
413311231122010
5232132121012
621014533300
73154621422
oct765553204
9304426630
10131520132
1168270027
1238067230
132132b683
1413678112
15b82dddc
hex7d6d684

131520132 has 48 divisors (see below), whose sum is σ = 343470400. Its totient is φ = 43519680.

The previous prime is 131520127. The next prime is 131520149. The reversal of 131520132 is 231025131.

131520132 is a `hidden beast` number, since 13 + 1 + 520 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10632 + ... + 19392.

Almost surely, 2131520132 is an apocalyptic number.

131520132 is a gapful number since it is divisible by the number (12) 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 131520132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171735200).

131520132 is an abundant number, since it is smaller than the sum of its proper divisors (211950268).

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

131520132 is a wasteful number, since it uses less digits than its factorization.

131520132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913 (or 8905 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131520132 is about 11468.2227044996. Note that the first 3 decimals coincide. The cubic root of 131520132 is about 508.5465886083.

Adding to 131520132 its reverse (231025131), we get a palindrome (362545263).

The spelling of 131520132 in words is "one hundred thirty-one million, five hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1251 1668 2502 3753 5004 7506 8761 15012 17522 26283 35044 52566 78849 105132 157698 236547 315396 473094 946188 1217779 2435558 3653337 4871116 7306674 10960011 14613348 21920022 32880033 43840044 65760066 131520132