136391537664 has 440 divisors, whose sum is σ = 419181515808. Its totient is φ = 44341862400.

The previous prime is 136391537663. The next prime is 136391537687. The reversal of 136391537664 is 466735193631.

136391537664 is a `hidden beast` number, since 1 + 363 + 9 + 153 + 76 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 136391537664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136391537663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1350411214 + ... + 1350411314.

Almost surely, 2^136391537664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136391537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209590757904).

136391537664 is an abundant number, since it is smaller than the sum of its proper divisors (282789978144).

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

136391537664 is an frugal number, since it uses more digits than its factorization.

136391537664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 173 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 136391537664 in words is "one hundred thirty-six billion, three hundred ninety-one million, five hundred thirty-seven thousand, six hundred sixty-four".