131334174720 has 864 divisors, whose sum is σ = 535995532800. Its totient is φ = 29652811776.

The previous prime is 131334174709. The next prime is 131334174733. The reversal of 131334174720 is 27471433131.

131334174720 is a `hidden beast` number, since 13 + 133 + 41 + 7 + 472 + 0 = 666.

131334174720 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 71 ways as a sum of consecutive naturals, for example, 573511566 + ... + 573511794.

It is an arithmetic number, because the mean of its divisors is an integer number (620365200).

Almost surely, 2^131334174720 is an apocalyptic number.

131334174720 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 131334174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267997766400).

131334174720 is an abundant number, since it is smaller than the sum of its proper divisors (404661358080).

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

131334174720 is a wasteful number, since it uses less digits than its factorization.

131334174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 131334174720 in words is "one hundred thirty-one billion, three hundred thirty-four million, one hundred seventy-four thousand, seven hundred twenty".