136920655872 has 1152 divisors, whose sum is σ = 546911688960. Its totient is φ = 31850496000.

The previous prime is 136920655867. The next prime is 136920655873. The reversal of 136920655872 is 278556029631.

136920655872 is a `hidden beast` number, since 1 + 3 + 69 + 20 + 6 + 558 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (136920655873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 756467622 + ... + 756467802.

It is an arithmetic number, because the mean of its divisors is an integer number (474749730).

Almost surely, 2^136920655872 is an apocalyptic number.

136920655872 is a gapful number since it is divisible by the number (12) 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 136920655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273455844480).

136920655872 is an abundant number, since it is smaller than the sum of its proper divisors (409991033088).

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

136920655872 is a wasteful number, since it uses less digits than its factorization.

136920655872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 136920655872 in words is "one hundred thirty-six billion, nine hundred twenty million, six hundred fifty-five thousand, eight hundred seventy-two".