136589693992960 has 960 divisors, whose sum is σ = 378188891861760. Its totient is φ = 46971507179520.

The previous prime is 136589693992933. The next prime is 136589693992979. The reversal of 136589693992960 is 69299396985631.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168837693036 + ... + 168837693844.

It is an arithmetic number, because the mean of its divisors is an integer number (393946762356).

Almost surely, 2^{136589693992960} is an apocalyptic number.

136589693992960 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 136589693992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189094445930880).

136589693992960 is an abundant number, since it is smaller than the sum of its proper divisors (241599197868800).

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

136589693992960 is a wasteful number, since it uses less digits than its factorization.

136589693992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 9183300480, while the sum is 85.

The spelling of 136589693992960 in words is "one hundred thirty-six trillion, five hundred eighty-nine billion, six hundred ninety-three million, nine hundred ninety-two thousand, nine hundred sixty".