136478188274400 has 3456 divisors, whose sum is σ = 605366054092800. Its totient is φ = 28253977804800.

The previous prime is 136478188274381. The next prime is 136478188274429. The reversal of 136478188274400 is 4472881874631.

136478188274400 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 7 + 8 + 188 + 2 + 7 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 444554359047 + ... + 444554359353.

It is an arithmetic number, because the mean of its divisors is an integer number (175163788800).

Almost surely, 2^{136478188274400} is an apocalyptic number.

136478188274400 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 136478188274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302683027046400).

136478188274400 is an abundant number, since it is smaller than the sum of its proper divisors (468887865818400).

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

136478188274400 is a wasteful number, since it uses less digits than its factorization.

136478188274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 136478188274400 in words is "one hundred thirty-six trillion, four hundred seventy-eight billion, one hundred eighty-eight million, two hundred seventy-four thousand, four hundred".