131153040 has 80 divisors (see below), whose sum is σ = 451756800. Its totient is φ = 34973568.

The previous prime is 131153039. The next prime is 131153063. The reversal of 131153040 is 40351131.

131153040 is a `hidden beast` number, since 131 + 1 + 530 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131153040² = 34402239802483200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28200 + ... + 32519.

It is an arithmetic number, because the mean of its divisors is an integer number (5646960).

Almost surely, 2^131153040 is an apocalyptic number.

131153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131153040 is an abundant number, since it is smaller than the sum of its proper divisors (320603760).

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

131153040 is a wasteful number, since it uses less digits than its factorization.

131153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60741 (or 60729 counting only the distinct ones).

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

The square root of 131153040 is about 11452.2067742422. The cubic root of 131153040 is about 508.0730049873.

The spelling of 131153040 in words is "one hundred thirty-one million, one hundred fifty-three thousand, forty".