136457200 has 60 divisors (see below), whose sum is σ = 357653448. Its totient is φ = 49619200.

The previous prime is 136457197. The next prime is 136457213. The reversal of 136457200 is 2754631.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

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, 11107 + ... + 19906.

Almost surely, 2^136457200 is an apocalyptic number.

136457200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136457200 is an abundant number, since it is smaller than the sum of its proper divisors (221196248).

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

136457200 is a wasteful number, since it uses less digits than its factorization.

136457200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31042 (or 31031 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 136457200 is about 11681.4896310359. The cubic root of 136457200 is about 514.8319431541.

It can be divided in two parts, 1364 and 57200, that added together give a square (58564 = 242²).

The spelling of 136457200 in words is "one hundred thirty-six million, four hundred fifty-seven thousand, two hundred".