Search a number
-
+
131525128 = 2373796197
BaseRepresentation
bin1111101011011…
…10101000001000
3100011111011120001
413311232220020
5232132301003
621015012344
73154642120
oct765565010
9304434501
10131525128
1168273859
123806a0b4
1321330a27
1413679c80
15b83061d
hex7d6ea08

131525128 has 32 divisors (see below), whose sum is σ = 282628800. Its totient is φ = 56210112.

The previous prime is 131525071. The next prime is 131525143. The reversal of 131525128 is 821525131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131525096 and 131525105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18126 + ... + 24322.

It is an arithmetic number, because the mean of its divisors is an integer number (8832150).

Almost surely, 2131525128 is an apocalyptic number.

It is an amenable number.

131525128 is an abundant number, since it is smaller than the sum of its proper divisors (151103672).

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

131525128 is a wasteful number, since it uses less digits than its factorization.

131525128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6585 counting only the distinct ones).

The product of its digits is 2400, while the sum is 28.

The square root of 131525128 is about 11468.4405217100. The cubic root of 131525128 is about 508.5530278420.

The spelling of 131525128 in words is "one hundred thirty-one million, five hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 379 758 1516 2653 3032 5306 6197 10612 12394 21224 24788 43379 49576 86758 173516 347032 2348663 4697326 9394652 16440641 18789304 32881282 65762564 131525128