135809185400 has 384 divisors, whose sum is σ = 377375846400. Its totient is φ = 44499456000.

The previous prime is 135809185399. The next prime is 135809185403. The reversal of 135809185400 is 4581908531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135809185403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609009689 + ... + 609009911.

It is an arithmetic number, because the mean of its divisors is an integer number (982749600).

Almost surely, 2^135809185400 is an apocalyptic number.

135809185400 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 135809185400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188687923200).

135809185400 is an abundant number, since it is smaller than the sum of its proper divisors (241566661000).

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

135809185400 is a wasteful number, since it uses less digits than its factorization.

135809185400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The spelling of 135809185400 in words is "one hundred thirty-five billion, eight hundred nine million, one hundred eighty-five thousand, four hundred".