136657410768 has 60 divisors (see below), whose sum is σ = 396615809408. Its totient is φ = 45552468960.

The previous prime is 136657410767. The next prime is 136657410823. The reversal of 136657410768 is 867014756631.

136657410768 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 574 + 1 + 0 + 7 + 68 = 666.

It is a super-3 number, since 3×136657410768³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136657410767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17570368 + ... + 17578143.

Almost surely, 2^136657410768 is an apocalyptic number.

136657410768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136657410768 is an abundant number, since it is smaller than the sum of its proper divisors (259958398640).

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

136657410768 is an equidigital number, since it uses as much as digits as its factorization.

136657410768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35148534 (or 35148516 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 136657410768 in words is "one hundred thirty-six billion, six hundred fifty-seven million, four hundred ten thousand, seven hundred sixty-eight".