131408575200 has 864 divisors, whose sum is σ = 571215939840. Its totient is φ = 27753062400.

The previous prime is 131408575169. The next prime is 131408575289. The reversal of 131408575200 is 2575804131.

131408575200 is a `hidden beast` number, since 13 + 1 + 40 + 85 + 7 + 520 + 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39259927 + ... + 39263273.

It is an arithmetic number, because the mean of its divisors is an integer number (661129560).

Almost surely, 2^131408575200 is an apocalyptic number.

131408575200 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 131408575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285607969920).

131408575200 is an abundant number, since it is smaller than the sum of its proper divisors (439807364640).

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

131408575200 is a wasteful number, since it uses less digits than its factorization.

131408575200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 131408575200 in words is "one hundred thirty-one billion, four hundred eight million, five hundred seventy-five thousand, two hundred".