136612675584 has 552 divisors, whose sum is σ = 502511113728. Its totient is φ = 34728837120.

The previous prime is 136612675583. The next prime is 136612675613. The reversal of 136612675584 is 485576216631.

It is a happy number.

136612675584 is a `hidden beast` number, since 1 + 3 + 6 + 61 + 26 + 7 + 558 + 4 = 666.

Its product of digits (7257600) is a multiple of the sum of its prime divisors (70).

It is a self number, because there is not a number n which added to its sum of digits gives 136612675584.

It is not an unprimeable number, because it can be changed into a prime (136612675583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2906652649 + ... + 2906652695.

Almost surely, 2^136612675584 is an apocalyptic number.

136612675584 is a gapful number since it is divisible by the number (14) 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 136612675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251255556864).

136612675584 is an abundant number, since it is smaller than the sum of its proper divisors (365898438144).

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

136612675584 is an frugal number, since it uses more digits than its factorization.

136612675584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 136612675584 in words is "one hundred thirty-six billion, six hundred twelve million, six hundred seventy-five thousand, five hundred eighty-four".