136038400 has 72 divisors (see below), whose sum is σ = 337419810. Its totient is φ = 54394880.

The previous prime is 136038379. The next prime is 136038401. The reversal of 136038400 is 4830631.

It can be written as a sum of positive squares in 3 ways, for example, as 109495296 + 26543104 = 10464^2 + 5152^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136038401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49872 + ... + 52528.

Almost surely, 2^136038400 is an apocalyptic number.

136038400 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 136038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168709905).

136038400 is an abundant number, since it is smaller than the sum of its proper divisors (201381410).

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

136038400 is an equidigital number, since it uses as much as digits as its factorization.

136038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 136038400 is about 11663.5500599089. The cubic root of 136038400 is about 514.3047141717.

The spelling of 136038400 in words is "one hundred thirty-six million, thirty-eight thousand, four hundred".