136304640 has 384 divisors, whose sum is σ = 530712000. Its totient is φ = 33030144.

The previous prime is 136304621. The next prime is 136304659. The reversal of 136304640 is 46403631.

136304640 is a `hidden beast` number, since 13 + 6 + 3 + 0 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (136304621) and next prime (136304659).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4700146 + ... + 4700174.

Almost surely, 2^136304640 is an apocalyptic number.

136304640 is a gapful number since it is divisible by the number (10) 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 136304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356000).

136304640 is an abundant number, since it is smaller than the sum of its proper divisors (394407360).

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

136304640 is a wasteful number, since it uses less digits than its factorization.

136304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 136304640 is about 11674.9578157696. The cubic root of 136304640 is about 514.6400098352.

The spelling of 136304640 in words is "one hundred thirty-six million, three hundred four thousand, six hundred forty".