136615779840 has 640 divisors, whose sum is σ = 477432299520. Its totient is φ = 33236582400.

The previous prime is 136615779791. The next prime is 136615779901. The reversal of 136615779840 is 48977516631.

It is a happy number.

136615779840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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, 324502830 + ... + 324503250.

It is an arithmetic number, because the mean of its divisors is an integer number (745987968).

Almost surely, 2^136615779840 is an apocalyptic number.

136615779840 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 136615779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238716149760).

136615779840 is an abundant number, since it is smaller than the sum of its proper divisors (340816519680).

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

136615779840 is a wasteful number, since it uses less digits than its factorization.

136615779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 136615779840 in words is "one hundred thirty-six billion, six hundred fifteen million, seven hundred seventy-nine thousand, eight hundred forty".