131737993920 has 448 divisors, whose sum is σ = 529940154240. Its totient is φ = 30519853056.

The previous prime is 131737993909. The next prime is 131737993943. The reversal of 131737993920 is 29399737131.

131737993920 is a `hidden beast` number, since 13 + 173 + 79 + 9 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874944 + ... + 1943936.

It is an arithmetic number, because the mean of its divisors is an integer number (1182902130).

Almost surely, 2^131737993920 is an apocalyptic number.

131737993920 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 131737993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264970077120).

131737993920 is an abundant number, since it is smaller than the sum of its proper divisors (398202160320).

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

131737993920 is a wasteful number, since it uses less digits than its factorization.

131737993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69049 (or 69033 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 54.

The spelling of 131737993920 in words is "one hundred thirty-one billion, seven hundred thirty-seven million, nine hundred ninety-three thousand, nine hundred twenty".