131904115200 has 1920 divisors, whose sum is σ = 606088707840. Its totient is φ = 27603763200.

The previous prime is 131904115199. The next prime is 131904115247. The reversal of 131904115200 is 2511409131.

It is a happy number.

131904115200 is a `hidden beast` number, since 13 + 1 + 90 + 41 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 840153522 + ... + 840153678.

It is an arithmetic number, because the mean of its divisors is an integer number (315671202).

Almost surely, 2^131904115200 is an apocalyptic number.

131904115200 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 131904115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303044353920).

131904115200 is an abundant number, since it is smaller than the sum of its proper divisors (474184592640).

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

131904115200 is a wasteful number, since it uses less digits than its factorization.

131904115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 131904115200 in words is "one hundred thirty-one billion, nine hundred four million, one hundred fifteen thousand, two hundred".