131830729920 has 168 divisors, whose sum is σ = 453689014896. Its totient is φ = 35135772672.

The previous prime is 131830729843. The next prime is 131830729999. The reversal of 131830729920 is 29927038131.

131830729920 is a `hidden beast` number, since 1 + 31 + 8 + 307 + 299 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5757214 + ... + 5780066.

Almost surely, 2^131830729920 is an apocalyptic number.

131830729920 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 131830729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226844507448).

131830729920 is an abundant number, since it is smaller than the sum of its proper divisors (321858284976).

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

131830729920 is a wasteful number, since it uses less digits than its factorization.

131830729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24879 (or 24866 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 131830729920 in words is "one hundred thirty-one billion, eight hundred thirty million, seven hundred twenty-nine thousand, nine hundred twenty".