136857442680 has 384 divisors, whose sum is σ = 513465338880. Its totient is φ = 30967142400.

The previous prime is 136857442663. The next prime is 136857442699. The reversal of 136857442680 is 86244758631.

It is a happy number.

136857442680 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 574 + 4 + 2 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173897247 + ... + 173898033.

It is an arithmetic number, because the mean of its divisors is an integer number (1337149320).

Almost surely, 2^136857442680 is an apocalyptic number.

136857442680 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 136857442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256732669440).

136857442680 is an abundant number, since it is smaller than the sum of its proper divisors (376607896200).

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

136857442680 is a wasteful number, since it uses less digits than its factorization.

136857442680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 136857442680 in words is "one hundred thirty-six billion, eight hundred fifty-seven million, four hundred forty-two thousand, six hundred eighty".