131945400 has 72 divisors (see below), whose sum is σ = 443122680. Its totient is φ = 35184960.

The previous prime is 131945327. The next prime is 131945413. The reversal of 131945400 is 4549131.

131945400 is a `hidden beast` number, since 1 + 31 + 94 + 540 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 34852 + ... + 38451.

Almost surely, 2^131945400 is an apocalyptic number.

131945400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131945400 is an abundant number, since it is smaller than the sum of its proper divisors (311177280).

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

131945400 is a wasteful number, since it uses less digits than its factorization.

131945400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73325 (or 73313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131945400 is about 11486.7488873049. The cubic root of 131945400 is about 509.0941243226.

The spelling of 131945400 in words is "one hundred thirty-one million, nine hundred forty-five thousand, four hundred".