135328336900 has 27 divisors (see below), whose sum is σ = 293670474069. Its totient is φ = 54129863280.

The previous prime is 135328336883. The next prime is 135328336921. The reversal of 135328336900 is 9633823531.

The square root of 135328336900 is 367870.

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

It can be written as a sum of positive squares in only one way, i.e., 48718201284 + 86610135616 = 220722^2 + 294296^2 .

It is a super-2 number, since 2×135328336900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3660307 + ... + 3697093.

Almost surely, 2^135328336900 is an apocalyptic number.

135328336900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135328336900 is the 367870-th square number.

It is an amenable number.

135328336900 is an abundant number, since it is smaller than the sum of its proper divisors (158342137169).

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

135328336900 is an frugal number, since it uses more digits than its factorization.

135328336900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73588 (or 36794 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The spelling of 135328336900 in words is "one hundred thirty-five billion, three hundred twenty-eight million, three hundred thirty-six thousand, nine hundred".