131862352320 has 672 divisors, whose sum is σ = 499721721408. Its totient is φ = 31776178176.

The previous prime is 131862352309. The next prime is 131862352387. The reversal of 131862352320 is 23253268131.

131862352320 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 623 + 5 + 2 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150355722 + ... + 150356598.

It is an arithmetic number, because the mean of its divisors is an integer number (743633514).

Almost surely, 2^131862352320 is an apocalyptic number.

131862352320 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 131862352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249860860704).

131862352320 is an abundant number, since it is smaller than the sum of its proper divisors (367859369088).

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

131862352320 is a wasteful number, since it uses less digits than its factorization.

131862352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 131862352320 in words is "one hundred thirty-one billion, eight hundred sixty-two million, three hundred fifty-two thousand, three hundred twenty".