136158400 has 84 divisors (see below), whose sum is σ = 382928368. Its totient is φ = 46679040.

The previous prime is 136158397. The next prime is 136158401. The reversal of 136158400 is 4851631.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (136158401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5122 + ... + 17278.

Almost surely, 2^136158400 is an apocalyptic number.

136158400 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 136158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191464184).

136158400 is an abundant number, since it is smaller than the sum of its proper divisors (246769968).

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

136158400 is a wasteful number, since it uses less digits than its factorization.

136158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12186 (or 12171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 136158400 is about 11668.6931573334. The cubic root of 136158400 is about 514.4558931226.

The spelling of 136158400 in words is "one hundred thirty-six million, one hundred fifty-eight thousand, four hundred".