131552567136720 has 960 divisors, whose sum is σ = 499164287940864. Its totient is φ = 32072984985600.

The previous prime is 131552567136707. The next prime is 131552567136787. The reversal of 131552567136720 is 27631765255131.

131552567136720 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 5 + 2 + 567 + 1 + 3 + 6 + 72 + 0 = 666.

It is a super-2 number, since 2×131552567136720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1769022259 + ... + 1769096621.

Almost surely, 2^{131552567136720} is an apocalyptic number.

131552567136720 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 131552567136720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249582143970432).

131552567136720 is an abundant number, since it is smaller than the sum of its proper divisors (367611720804144).

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

131552567136720 is a wasteful number, since it uses less digits than its factorization.

131552567136720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74562 (or 74544 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 131552567136720 in words is "one hundred thirty-one trillion, five hundred fifty-two billion, five hundred sixty-seven million, one hundred thirty-six thousand, seven hundred twenty".