136133474400 has 1296 divisors, whose sum is σ = 624818009088. Its totient is φ = 27067392000.

The previous prime is 136133474333. The next prime is 136133474417. The reversal of 136133474400 is 4474331631.

136133474400 is a `hidden beast` number, since 1 + 3 + 613 + 34 + 7 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1529589556 + ... + 1529589644.

Almost surely, 2^136133474400 is an apocalyptic number.

136133474400 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 136133474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312409004544).

136133474400 is an abundant number, since it is smaller than the sum of its proper divisors (488684534688).

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

136133474400 is a wasteful number, since it uses less digits than its factorization.

136133474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 136133474400 in words is "one hundred thirty-six billion, one hundred thirty-three million, four hundred seventy-four thousand, four hundred".