136672574400 has 672 divisors, whose sum is σ = 531495000000. Its totient is φ = 34044641280.

The previous prime is 136672574399. The next prime is 136672574419. The reversal of 136672574400 is 4475276631.

136672574400 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 72 + 574 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109424976 + ... + 109426224.

Almost surely, 2^136672574400 is an apocalyptic number.

136672574400 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 136672574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265747500000).

136672574400 is an abundant number, since it is smaller than the sum of its proper divisors (394822425600).

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

136672574400 is a wasteful number, since it uses less digits than its factorization.

136672574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 136672574400 in words is "one hundred thirty-six billion, six hundred seventy-two million, five hundred seventy-four thousand, four hundred".