131974142400 has 840 divisors, whose sum is σ = 507078544896. Its totient is φ = 33629644800.

The previous prime is 131974142387. The next prime is 131974142401. The reversal of 131974142400 is 4241479131.

131974142400 is a `hidden beast` number, since 1 + 3 + 197 + 41 + 424 + 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 not an unprimeable number, because it can be changed into a prime (131974142401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 429883047 + ... + 429883353.

Almost surely, 2^131974142400 is an apocalyptic number.

131974142400 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 131974142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253539272448).

131974142400 is an abundant number, since it is smaller than the sum of its proper divisors (375104402496).

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

131974142400 is a wasteful number, since it uses less digits than its factorization.

131974142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 131974142400 in words is "one hundred thirty-one billion, nine hundred seventy-four million, one hundred forty-two thousand, four hundred".