135792518400 has 1296 divisors, whose sum is σ = 641245707648. Its totient is φ = 26542080000.

The previous prime is 135792518377. The next prime is 135792518401. The reversal of 135792518400 is 4815297531.

135792518400 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 92 + 518 + 40 + 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 not an unprimeable number, because it can be changed into a prime (135792518401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75397500 + ... + 75399300.

Almost surely, 2^135792518400 is an apocalyptic number.

135792518400 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 135792518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320622853824).

135792518400 is an abundant number, since it is smaller than the sum of its proper divisors (505453189248).

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

135792518400 is a wasteful number, since it uses less digits than its factorization.

135792518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 135792518400 in words is "one hundred thirty-five billion, seven hundred ninety-two million, five hundred eighteen thousand, four hundred".