131920427088 has 240 divisors, whose sum is σ = 400010397696. Its totient is φ = 42039077760.

The previous prime is 131920427083. The next prime is 131920427101. The reversal of 131920427088 is 880724029131.

It is a happy number.

131920427088 is a `hidden beast` number, since 131 + 92 + 0 + 427 + 0 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131920427083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9997231 + ... + 10010417.

Almost surely, 2^131920427088 is an apocalyptic number.

131920427088 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 131920427088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200005198848).

131920427088 is an abundant number, since it is smaller than the sum of its proper divisors (268089970608).

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

131920427088 is a wasteful number, since it uses less digits than its factorization.

131920427088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13324 (or 13306 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 131920427088 in words is "one hundred thirty-one billion, nine hundred twenty million, four hundred twenty-seven thousand, eighty-eight".