135202802400 has 360 divisors, whose sum is σ = 510067431720. Its totient is φ = 34810352640.

The previous prime is 135202802377. The next prime is 135202802419. The reversal of 135202802400 is 4208202531.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1843227 + ... + 1915173.

It is an arithmetic number, because the mean of its divisors is an integer number (1416853977).

Almost surely, 2^135202802400 is an apocalyptic number.

135202802400 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 135202802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255033715860).

135202802400 is an abundant number, since it is smaller than the sum of its proper divisors (374864629320).

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

135202802400 is a wasteful number, since it uses less digits than its factorization.

135202802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72008 (or 71986 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 135202802400 in words is "one hundred thirty-five billion, two hundred two million, eight hundred two thousand, four hundred".