131950407222720 has 2688 divisors, whose sum is σ = 545894306979840. Its totient is φ = 30115917987840.

The previous prime is 131950407222643. The next prime is 131950407222743. The reversal of 131950407222720 is 27222704059131.

131950407222720 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 504 + 0 + 72 + 2 + 2 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 106669689942 + ... + 106669691178.

It is an arithmetic number, because the mean of its divisors is an integer number (203085679680).

Almost surely, 2^{131950407222720} is an apocalyptic number.

131950407222720 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 131950407222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272947153489920).

131950407222720 is an abundant number, since it is smaller than the sum of its proper divisors (413943899757120).

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

131950407222720 is a wasteful number, since it uses less digits than its factorization.

131950407222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 131950407222720 in words is "one hundred thirty-one trillion, nine hundred fifty billion, four hundred seven million, two hundred twenty-two thousand, seven hundred twenty".