136342400 has 96 divisors (see below), whose sum is σ = 340357680. Its totient is φ = 53964800.

The previous prime is 136342391. The next prime is 136342403. The reversal of 136342400 is 4243631.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136342403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438245 + ... + 438555.

Almost surely, 2^136342400 is an apocalyptic number.

136342400 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 136342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170178840).

136342400 is an abundant number, since it is smaller than the sum of its proper divisors (204015280).

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

136342400 is a wasteful number, since it uses less digits than its factorization.

136342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 136342400 is about 11676.5748402517. The cubic root of 136342400 is about 514.6875284244.

The spelling of 136342400 in words is "one hundred thirty-six million, three hundred forty-two thousand, four hundred".