135564710400 has 600 divisors, whose sum is σ = 573442077120. Its totient is φ = 30984560640.

The previous prime is 135564710381. The next prime is 135564710443. The reversal of 135564710400 is 4017465531.

135564710400 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 647 + 1 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7248261 + ... + 7266939.

Almost surely, 2^135564710400 is an apocalyptic number.

135564710400 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 135564710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286721038560).

135564710400 is an abundant number, since it is smaller than the sum of its proper divisors (437877366720).

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

135564710400 is an equidigital number, since it uses as much as digits as its factorization.

135564710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18726 (or 18696 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 135564710400 in words is "one hundred thirty-five billion, five hundred sixty-four million, seven hundred ten thousand, four hundred".