135107704900 has 243 divisors, whose sum is σ = 350870816919. Its totient is φ = 45025854720.

The previous prime is 135107704883. The next prime is 135107704909. The reversal of 135107704900 is 9407701531.

The square root of 135107704900 is 367570.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28115911684 + 106991793216 = 167678^2 + 327096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135107704900.

It is not an unprimeable number, because it can be changed into a prime (135107704909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1518064056 + ... + 1518064144.

Almost surely, 2^135107704900 is an apocalyptic number.

135107704900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135107704900 is the 367570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135107704900

135107704900 is an abundant number, since it is smaller than the sum of its proper divisors (215763112019).

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

135107704900 is an equidigital number, since it uses as much as digits as its factorization.

135107704900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The spelling of 135107704900 in words is "one hundred thirty-five billion, one hundred seven million, seven hundred four thousand, nine hundred".