131886518400 has 1728 divisors, whose sum is σ = 601791840000. Its totient is φ = 27474370560.

The previous prime is 131886518399. The next prime is 131886518447. The reversal of 131886518400 is 4815688131.

131886518400 is a `hidden beast` number, since 1 + 3 + 18 + 86 + 518 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1669449561 + ... + 1669449639.

Almost surely, 2^131886518400 is an apocalyptic number.

131886518400 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 131886518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300895920000).

131886518400 is an abundant number, since it is smaller than the sum of its proper divisors (469905321600).

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

131886518400 is a wasteful number, since it uses less digits than its factorization.

131886518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 131886518400 in words is "one hundred thirty-one billion, eight hundred eighty-six million, five hundred eighteen thousand, four hundred".