136874400 has 288 divisors, whose sum is σ = 496093248. Its totient is φ = 32563200.

The previous prime is 136874399. The next prime is 136874401. The reversal of 136874400 is 4478631.

It is an interprime number because it is at equal distance from previous prime (136874399) and next prime (136874401).

It is not an unprimeable number, because it can be changed into a prime (136874401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279147 + ... + 1279253.

It is an arithmetic number, because the mean of its divisors is an integer number (1722546).

Almost surely, 2^136874400 is an apocalyptic number.

136874400 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 136874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248046624).

136874400 is an abundant number, since it is smaller than the sum of its proper divisors (359218848).

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

136874400 is a wasteful number, since it uses less digits than its factorization.

136874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 136874400 is about 11699.3333143389. Note that the first 4 decimals coincide. The cubic root of 136874400 is about 515.3560864080.

The spelling of 136874400 in words is "one hundred thirty-six million, eight hundred seventy-four thousand, four hundred".