131153400 has 216 divisors, whose sum is σ = 512712720. Its totient is φ = 29957760.

The previous prime is 131153389. The next prime is 131153411. The reversal of 131153400 is 4351131.

131153400 is a `hidden beast` number, since 131 + 1 + 534 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131153389) and next prime (131153411).

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

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 53 ways as a sum of consecutive naturals, for example, 87457 + ... + 88943.

It is an arithmetic number, because the mean of its divisors is an integer number (2373670).

Almost surely, 2^131153400 is an apocalyptic number.

131153400 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 131153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256356360).

131153400 is an abundant number, since it is smaller than the sum of its proper divisors (381559320).

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

131153400 is a wasteful number, since it uses less digits than its factorization.

131153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1504 counting only the distinct ones).

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

The square root of 131153400 is about 11452.2224917262. Note that the first 3 decimals coincide. The cubic root of 131153400 is about 508.0734698542.

The spelling of 131153400 in words is "one hundred thirty-one million, one hundred fifty-three thousand, four hundred".