135814360900 has 81 divisors (see below), whose sum is σ = 297991846789. Its totient is φ = 53728725760.

The previous prime is 135814360889. The next prime is 135814360907. The reversal of 135814360900 is 9063418531.

The square root of 135814360900 is 368530.

It is a perfect power (a square), and thus also a powerful number.

135814360900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 130166537796 + 5647823104 = 360786^2 + 75152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135814360907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 504885966 + ... + 504886234.

Almost surely, 2^135814360900 is an apocalyptic number.

135814360900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135814360900 is the 368530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135814360900

135814360900 is an abundant number, since it is smaller than the sum of its proper divisors (162177485889).

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

135814360900 is an equidigital number, since it uses as much as digits as its factorization.

135814360900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 135814360900 in words is "one hundred thirty-five billion, eight hundred fourteen million, three hundred sixty thousand, nine hundred".