131930517888 has 192 divisors, whose sum is σ = 411274281600. Its totient is φ = 40593226752.

The previous prime is 131930517881. The next prime is 131930517899. The reversal of 131930517888 is 888715039131.

It is a happy number.

131930517888 is a `hidden beast` number, since 1 + 3 + 19 + 30 + 517 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131930517881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2504881 + ... + 2557007.

It is an arithmetic number, because the mean of its divisors is an integer number (2142053550).

Almost surely, 2^131930517888 is an apocalyptic number.

131930517888 is a gapful number since it is divisible by the number (18) 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 131930517888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205637140800).

131930517888 is an abundant number, since it is smaller than the sum of its proper divisors (279343763712).

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

131930517888 is an equidigital number, since it uses as much as digits as its factorization.

131930517888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52186 (or 52145 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 131930517888 in words is "one hundred thirty-one billion, nine hundred thirty million, five hundred seventeen thousand, eight hundred eighty-eight".