131804762112 has 416 divisors, whose sum is σ = 403390368000. Its totient is φ = 42509795328.

The previous prime is 131804762107. The next prime is 131804762123. The reversal of 131804762112 is 211267408131.

131804762112 is a `hidden beast` number, since 1 + 3 + 18 + 0 + 4 + 7 + 621 + 12 = 666.

131804762112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 662335389 + ... + 662335587.

Almost surely, 2^131804762112 is an apocalyptic number.

131804762112 is a gapful number since it is divisible by the number (12) 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 131804762112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201695184000).

131804762112 is an abundant number, since it is smaller than the sum of its proper divisors (271585605888).

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

131804762112 is a wasteful number, since it uses less digits than its factorization.

131804762112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 131804762112 in words is "one hundred thirty-one billion, eight hundred four million, seven hundred sixty-two thousand, one hundred twelve".