131885107200 has 2160 divisors, whose sum is σ = 630388558800. Its totient is φ = 26940211200.

The previous prime is 131885107169. The next prime is 131885107201. The reversal of 131885107200 is 2701588131.

131885107200 is a `hidden beast` number, since 131 + 8 + 8 + 510 + 7 + 2 + 0 + 0 = 666.

131885107200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (131885107201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2235340771 + ... + 2235340829.

It is an arithmetic number, because the mean of its divisors is an integer number (291846555).

Almost surely, 2^131885107200 is an apocalyptic number.

131885107200 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 131885107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315194279400).

131885107200 is an abundant number, since it is smaller than the sum of its proper divisors (498503451600).

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

131885107200 is a wasteful number, since it uses less digits than its factorization.

131885107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 131885107200 in words is "one hundred thirty-one billion, eight hundred eighty-five million, one hundred seven thousand, two hundred".