136383458400 has 1728 divisors, whose sum is σ = 609297002496. Its totient is φ = 29113344000.

The previous prime is 136383458399. The next prime is 136383458411. The reversal of 136383458400 is 4854383631.

136383458400 is a `hidden beast` number, since 1 + 3 + 6 + 38 + 34 + 584 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2235794370 + ... + 2235794430.

It is an arithmetic number, because the mean of its divisors is an integer number (352602432).

Almost surely, 2^136383458400 is an apocalyptic number.

136383458400 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 136383458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304648501248).

136383458400 is an abundant number, since it is smaller than the sum of its proper divisors (472913544096).

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

136383458400 is a wasteful number, since it uses less digits than its factorization.

136383458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 136383458400 in words is "one hundred thirty-six billion, three hundred eighty-three million, four hundred fifty-eight thousand, four hundred".