136128400 has 30 divisors (see below), whose sum is σ = 327049442. Its totient is φ = 54451200.

The previous prime is 136128373. The next prime is 136128427. The reversal of 136128400 is 4821631.

It is an interprime number because it is at equal distance from previous prime (136128373) and next prime (136128427).

It can be written as a sum of positive squares in 3 ways, for example, as 17405584 + 118722816 = 4172^2 + 10896^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169761 + ... + 170560.

Almost surely, 2^136128400 is an apocalyptic number.

136128400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136128400 is an abundant number, since it is smaller than the sum of its proper divisors (190921042).

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

136128400 is a wasteful number, since it uses less digits than its factorization.

136128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340339 (or 340328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 136128400 is about 11667.4075955201. The cubic root of 136128400 is about 514.4181067149.

The spelling of 136128400 in words is "one hundred thirty-six million, one hundred twenty-eight thousand, four hundred".