136615680 has 288 divisors, whose sum is σ = 500371200. Its totient is φ = 35278848.

The previous prime is 136615663. The next prime is 136615691. The reversal of 136615680 is 86516631.

It is a happy number.

136615680 is a `hidden beast` number, since 1 + 36 + 61 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2039007 + ... + 2039073.

It is an arithmetic number, because the mean of its divisors is an integer number (1737400).

Almost surely, 2^136615680 is an apocalyptic number.

136615680 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 136615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250185600).

136615680 is an abundant number, since it is smaller than the sum of its proper divisors (363755520).

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

136615680 is an equidigital number, since it uses as much as digits as its factorization.

136615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 136615680 is about 11688.2710440852. The cubic root of 136615680 is about 515.0311729018.

The spelling of 136615680 in words is "one hundred thirty-six million, six hundred fifteen thousand, six hundred eighty".