136964640 has 48 divisors (see below), whose sum is σ = 431440128. Its totient is φ = 36523776.

The previous prime is 136964579. The next prime is 136964657. The reversal of 136964640 is 46469631.

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

It is a super-2 number, since 2×136964640² = 37518625220659200, which contains 22 as substring.

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, 142192 + ... + 143151.

It is an arithmetic number, because the mean of its divisors is an integer number (8988336).

Almost surely, 2^136964640 is an apocalyptic number.

136964640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136964640 is an abundant number, since it is smaller than the sum of its proper divisors (294475488).

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

136964640 is a wasteful number, since it uses less digits than its factorization.

136964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285361 (or 285353 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 136964640 is about 11703.1893089021. The cubic root of 136964640 is about 515.4693179953.

It can be divided in two parts, 13696 and 4640, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 136964640 in words is "one hundred thirty-six million, nine hundred sixty-four thousand, six hundred forty".