131625116466660 has 240 divisors, whose sum is σ = 438695873930160. Its totient is φ = 32973747287040.

The previous prime is 131625116466653. The next prime is 131625116466691. The reversal of 131625116466660 is 66664611526131.

It can be written as a sum of positive squares in 8 ways, for example, as 22723202136996 + 108901914329664 = 4766886^2 + 10435608^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 131625116466597 and 131625116466606.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36122911 + ... + 39599430.

It is an arithmetic number, because the mean of its divisors is an integer number (1827899474709).

Almost surely, 2^{131625116466660} is an apocalyptic number.

131625116466660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131625116466660 is an abundant number, since it is smaller than the sum of its proper divisors (307070757463500).

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

131625116466660 is a wasteful number, since it uses less digits than its factorization.

131625116466660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75722428 (or 75722417 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 131625116466660 in words is "one hundred thirty-one trillion, six hundred twenty-five billion, one hundred sixteen million, four hundred sixty-six thousand, six hundred sixty".