136146168057600 has 540 divisors, whose sum is σ = 525281175696816. Its totient is φ = 34727135477760.

The previous prime is 136146168057589. The next prime is 136146168057617. The reversal of 136146168057600 is 6750861641631.

It is a happy number.

136146168057600 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 4 + 6 + 1 + 68 + 0 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6213904 + ... + 17632496.

Almost surely, 2^{136146168057600} is an apocalyptic number.

136146168057600 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 136146168057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262640587848408).

136146168057600 is an abundant number, since it is smaller than the sum of its proper divisors (389135007639216).

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

136146168057600 is a wasteful number, since it uses less digits than its factorization.

136146168057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11418654 (or 11418626 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 136146168057600 in words is "one hundred thirty-six trillion, one hundred forty-six billion, one hundred sixty-eight million, fifty-seven thousand, six hundred".