136837195776 has 384 divisors, whose sum is σ = 415197619200. Its totient is φ = 45076414464.

The previous prime is 136837195769. The next prime is 136837195777. The reversal of 136837195776 is 677591738631.

It is a happy number.

136837195776 is a `hidden beast` number, since 13 + 6 + 8 + 37 + 19 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (136837195777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613619601 + ... + 613619823.

It is an arithmetic number, because the mean of its divisors is an integer number (1081243800).

Almost surely, 2^136837195776 is an apocalyptic number.

136837195776 is a gapful number since it is divisible by the number (16) 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 136837195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207598809600).

136837195776 is an abundant number, since it is smaller than the sum of its proper divisors (278360423424).

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

136837195776 is an frugal number, since it uses more digits than its factorization.

136837195776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 365 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 136837195776 in words is "one hundred thirty-six billion, eight hundred thirty-seven million, one hundred ninety-five thousand, seven hundred seventy-six".