136428800 has 54 divisors (see below), whose sum is σ = 337698438. Its totient is φ = 54568960.

The previous prime is 136428767. The next prime is 136428821. The reversal of 136428800 is 8824631.

It can be written as a sum of positive squares in 3 ways, for example, as 48219136 + 88209664 = 6944^2 + 9392^2 .

It is a super-2 number, since 2×136428800² = 37225634938880000, which contains 22 as substring.

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4259 + ... + 17058.

Almost surely, 2^136428800 is an apocalyptic number.

136428800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136428800 is an abundant number, since it is smaller than the sum of its proper divisors (201269638).

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

136428800 is an equidigital number, since it uses as much as digits as its factorization.

136428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21343 (or 21324 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 136428800 is about 11680.2739693896. The cubic root of 136428800 is about 514.7962244046.

The spelling of 136428800 in words is "one hundred thirty-six million, four hundred twenty-eight thousand, eight hundred".