136695165713600 has 756 divisors, whose sum is σ = 389563378698456. Its totient is φ = 47025138401280.

The previous prime is 136695165713597. The next prime is 136695165713671. The reversal of 136695165713600 is 6317561596631.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 136695165713600.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48767449799 + ... + 48767452601.

Almost surely, 2^{136695165713600} is an apocalyptic number.

136695165713600 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 136695165713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194781689349228).

136695165713600 is an abundant number, since it is smaller than the sum of its proper divisors (252868212984856).

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

136695165713600 is a wasteful number, since it uses less digits than its factorization.

136695165713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 59.

The spelling of 136695165713600 in words is "one hundred thirty-six trillion, six hundred ninety-five billion, one hundred sixty-five million, seven hundred thirteen thousand, six hundred".