135636004456400 has 180 divisors, whose sum is σ = 379107725641920. Its totient is φ = 46498903315200.

The previous prime is 135636004456367. The next prime is 135636004456417. The reversal of 135636004456400 is 4654400636531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189350915 + ... + 190065885.

It is an arithmetic number, because the mean of its divisors is an integer number (2106154031344).

Almost surely, 2^{135636004456400} is an apocalyptic number.

135636004456400 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 135636004456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189553862820960).

135636004456400 is an abundant number, since it is smaller than the sum of its proper divisors (243471721185520).

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

135636004456400 is a wasteful number, since it uses less digits than its factorization.

135636004456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724682 (or 724664 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 47.

The spelling of 135636004456400 in words is "one hundred thirty-five trillion, six hundred thirty-six billion, four million, four hundred fifty-six thousand, four hundred".