135313765400 has 96 divisors (see below), whose sum is σ = 345311380800. Its totient is φ = 48903004800.

The previous prime is 135313765373. The next prime is 135313765421. The reversal of 135313765400 is 4567313531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169931 + ... + 547269.

It is an arithmetic number, because the mean of its divisors is an integer number (3596993550).

Almost surely, 2^135313765400 is an apocalyptic number.

135313765400 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 135313765400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172655690400).

135313765400 is an abundant number, since it is smaller than the sum of its proper divisors (209997615400).

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

135313765400 is a wasteful number, since it uses less digits than its factorization.

135313765400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377529 (or 377520 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 38.

The spelling of 135313765400 in words is "one hundred thirty-five billion, three hundred thirteen million, seven hundred sixty-five thousand, four hundred".