136738400 has 72 divisors (see below), whose sum is σ = 339587640. Its totient is φ = 53749760.

The previous prime is 136738397. The next prime is 136738423. The reversal of 136738400 is 4837631.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 45752 + ... + 48648.

It is an arithmetic number, because the mean of its divisors is an integer number (4716495).

Almost surely, 2^136738400 is an apocalyptic number.

136738400 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 136738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169793820).

136738400 is an abundant number, since it is smaller than the sum of its proper divisors (202849240).

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

136738400 is a wasteful number, since it uses less digits than its factorization.

136738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 136738400 is about 11693.5195728232. The cubic root of 136738400 is about 515.1853419051.

The spelling of 136738400 in words is "one hundred thirty-six million, seven hundred thirty-eight thousand, four hundred".