136422400 has 99 divisors (see below), whose sum is σ = 342858171. Its totient is φ = 53821440.

The previous prime is 136422397. The next prime is 136422401. The reversal of 136422400 is 4224631.

It is a happy number.

The square root of 136422400 is 11680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 135675904 = 864^2 + 11648^2 .

It is a super-2 number, since 2×136422400² = 37222142443520000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136422401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1868764 + ... + 1868836.

Almost surely, 2^136422400 is an apocalyptic number.

136422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136422400 is the 11680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136422400

136422400 is an abundant number, since it is smaller than the sum of its proper divisors (206435771).

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

136422400 is an frugal number, since it uses more digits than its factorization.

136422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The cubic root of 136422400 is about 514.7881744245.

The spelling of 136422400 in words is "one hundred thirty-six million, four hundred twenty-two thousand, four hundred".