131872622400 has 168 divisors, whose sum is σ = 480724707840. Its totient is φ = 35166021120.

The previous prime is 131872622383. The next prime is 131872622437. The reversal of 131872622400 is 4226278131.

It is a happy number.

131872622400 is a `hidden beast` number, since 13 + 18 + 7 + 2 + 622 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483104 + ... + 1569503.

Almost surely, 2^131872622400 is an apocalyptic number.

131872622400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131872622400 is an abundant number, since it is smaller than the sum of its proper divisors (348852085440).

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

131872622400 is a wasteful number, since it uses less digits than its factorization.

131872622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052638 (or 3052617 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 131872622400 in words is "one hundred thirty-one billion, eight hundred seventy-two million, six hundred twenty-two thousand, four hundred".