136401408 has 400 divisors, whose sum is σ = 499093056. Its totient is φ = 36495360.

The previous prime is 136401389. The next prime is 136401427. The reversal of 136401408 is 804104631.

136401408 is a `hidden beast` number, since 1 + 3 + 640 + 14 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (136401389) and next prime (136401427).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5930485 + ... + 5930507.

Almost surely, 2^136401408 is an apocalyptic number.

136401408 is a gapful number since it is divisible by the number (18) 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 136401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249546528).

136401408 is an abundant number, since it is smaller than the sum of its proper divisors (362691648).

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

136401408 is a wasteful number, since it uses less digits than its factorization.

136401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 136401408 is about 11679.1013352912. The cubic root of 136401408 is about 514.7617687226.

The spelling of 136401408 in words is "one hundred thirty-six million, four hundred one thousand, four hundred eight".