131598385920 has 216 divisors, whose sum is σ = 458645687136. Its totient is φ = 34836332544.

The previous prime is 131598385909. The next prime is 131598385931. The reversal of 131598385920 is 29583895131.

131598385920 is a `hidden beast` number, since 1 + 3 + 15 + 9 + 8 + 38 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131598385909) and next prime (131598385931).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1536549 + ... + 1619931.

Almost surely, 2^131598385920 is an apocalyptic number.

131598385920 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 131598385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229322843568).

131598385920 is an abundant number, since it is smaller than the sum of its proper divisors (327047301216).

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

131598385920 is a wasteful number, since it uses less digits than its factorization.

131598385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83547 (or 83530 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 131598385920 in words is "one hundred thirty-one billion, five hundred ninety-eight million, three hundred eighty-five thousand, nine hundred twenty".