135922088415960 has 1152 divisors, whose sum is σ = 565778241100800. Its totient is φ = 27693454694400.

The previous prime is 135922088415947. The next prime is 135922088416013. The reversal of 135922088415960 is 69514880229531.

135922088415960 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 2 + 208 + 8 + 415 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7142131645 + ... + 7142150675.

It is an arithmetic number, because the mean of its divisors is an integer number (491126945400).

Almost surely, 2^{135922088415960} is an apocalyptic number.

135922088415960 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 135922088415960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282889120550400).

135922088415960 is an abundant number, since it is smaller than the sum of its proper divisors (429856152684840).

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

135922088415960 is a wasteful number, since it uses less digits than its factorization.

135922088415960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19533 (or 19515 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 135922088415960 in words is "one hundred thirty-five trillion, nine hundred twenty-two billion, eighty-eight million, four hundred fifteen thousand, nine hundred sixty".