131685222960 has 320 divisors, whose sum is σ = 467044392960. Its totient is φ = 34078786560.

The previous prime is 131685222941. The next prime is 131685222961. The reversal of 131685222960 is 69222586131.

131685222960 is a `hidden beast` number, since 1 + 3 + 1 + 68 + 522 + 2 + 9 + 60 = 666.

It is a super-2 number, since 2×131685222960² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131685222961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34443609 + ... + 34447431.

It is an arithmetic number, because the mean of its divisors is an integer number (1459513728).

Almost surely, 2^131685222960 is an apocalyptic number.

131685222960 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 131685222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233522196480).

131685222960 is an abundant number, since it is smaller than the sum of its proper divisors (335359170000).

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

131685222960 is a wasteful number, since it uses less digits than its factorization.

131685222960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 131685222960 in words is "one hundred thirty-one billion, six hundred eighty-five million, two hundred twenty-two thousand, nine hundred sixty".