131153904 has 240 divisors, whose sum is σ = 447749120. Its totient is φ = 36391680.

The previous prime is 131153881. The next prime is 131153927. The reversal of 131153904 is 409351131.

It is an interprime number because it is at equal distance from previous prime (131153881) and next prime (131153927).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1660137 + ... + 1660215.

Almost surely, 2^131153904 is an apocalyptic number.

131153904 is a gapful number since it is divisible by the number (14) 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 131153904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223874560).

131153904 is an abundant number, since it is smaller than the sum of its proper divisors (316595216).

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

131153904 is an equidigital number, since it uses as much as digits as its factorization.

131153904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 131153904 is about 11452.2444961676. The cubic root of 131153904 is about 508.0741206664.

The spelling of 131153904 in words is "one hundred thirty-one million, one hundred fifty-three thousand, nine hundred four".