131937600453120 has 3840 divisors, whose sum is σ = 622947328819200. Its totient is φ = 26141294592000.

The previous prime is 131937600453097. The next prime is 131937600453121. The reversal of 131937600453120 is 21354006739131.

131937600453120 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 3 + 7 + 600 + 4 + 5 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131937600453121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81999750876 + ... + 81999752484.

It is an arithmetic number, because the mean of its divisors is an integer number (162225866880).

Almost surely, 2^{131937600453120} is an apocalyptic number.

131937600453120 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 131937600453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311473664409600).

131937600453120 is an abundant number, since it is smaller than the sum of its proper divisors (491009728366080).

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

131937600453120 is a wasteful number, since it uses less digits than its factorization.

131937600453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 131937600453120 in words is "one hundred thirty-one trillion, nine hundred thirty-seven billion, six hundred million, four hundred fifty-three thousand, one hundred twenty".