136864896 has 128 divisors (see below), whose sum is σ = 423014400. Its totient is φ = 38396928.

The previous prime is 136864873. The next prime is 136864901. The reversal of 136864896 is 698468631.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158161 + ... + 159023.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^136864896 is an apocalyptic number.

136864896 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 136864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

136864896 is an abundant number, since it is smaller than the sum of its proper divisors (286149504).

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

136864896 is an equidigital number, since it uses as much as digits as its factorization.

136864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 934 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 136864896 is about 11698.9271302970. The cubic root of 136864896 is about 515.3441580571.

The spelling of 136864896 in words is "one hundred thirty-six million, eight hundred sixty-four thousand, eight hundred ninety-six".