135964896 has 48 divisors (see below), whose sum is σ = 358266384. Its totient is φ = 45149184.

The previous prime is 135964883. The next prime is 135964921. The reversal of 135964896 is 698469531.

135964896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24036 + ... + 29148.

It is an arithmetic number, because the mean of its divisors is an integer number (7463883).

Almost surely, 2^135964896 is an apocalyptic number.

135964896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135964896 is an abundant number, since it is smaller than the sum of its proper divisors (222301488).

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

135964896 is a wasteful number, since it uses less digits than its factorization.

135964896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5395 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 135964896 is about 11660.3986209735. The cubic root of 135964896 is about 514.2120681139.

The spelling of 135964896 in words is "one hundred thirty-five million, nine hundred sixty-four thousand, eight hundred ninety-six".