136293872400 has 675 divisors, whose sum is σ = 570957268431. Its totient is φ = 31046561280.

The previous prime is 136293872321. The next prime is 136293872423. The reversal of 136293872400 is 4278392631.

The square root of 136293872400 is 369180.

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

136293872400 is a `hidden beast` number, since 1 + 3 + 6 + 29 + 387 + 240 + 0 = 666.

136293872400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21584311056 + 114709561344 = 146916^2 + 338688^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 465166654 + ... + 465166946.

Almost surely, 2^136293872400 is an apocalyptic number.

136293872400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136293872400 is the 369180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136293872400

136293872400 is an abundant number, since it is smaller than the sum of its proper divisors (434663396031).

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

136293872400 is an equidigital number, since it uses as much as digits as its factorization.

136293872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 136293872400 in words is "one hundred thirty-six billion, two hundred ninety-three million, eight hundred seventy-two thousand, four hundred".