136125815328 has 192 divisors, whose sum is σ = 412446988800. Its totient is φ = 43626885120.

The previous prime is 136125815303. The next prime is 136125815341. The reversal of 136125815328 is 823518521631.

136125815328 is a `hidden beast` number, since 1 + 3 + 6 + 12 + 581 + 53 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6027225 + ... + 6049767.

It is an arithmetic number, because the mean of its divisors is an integer number (2148161400).

Almost surely, 2^136125815328 is an apocalyptic number.

136125815328 is a gapful number since it is divisible by the number (18) 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 136125815328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206223494400).

136125815328 is an abundant number, since it is smaller than the sum of its proper divisors (276321173472).

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

136125815328 is a wasteful number, since it uses less digits than its factorization.

136125815328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22832 (or 22818 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 136125815328 in words is "one hundred thirty-six billion, one hundred twenty-five million, eight hundred fifteen thousand, three hundred twenty-eight".