135256900 has 27 divisors (see below), whose sum is σ = 293760061. Its totient is φ = 54056240.

The previous prime is 135256873. The next prime is 135256903. The reversal of 135256900 is 9652531.

The square root of 135256900 is 11630.

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., 48692484 + 86564416 = 6978^2 + 9304^2 .

It is a super-2 number, since 2×135256900² = 36588857995220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135256903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115719 + ... + 116881.

Almost surely, 2^135256900 is an apocalyptic number.

135256900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135256900 is the 11630-th square number.

It is an amenable number.

135256900 is an abundant number, since it is smaller than the sum of its proper divisors (158503161).

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

135256900 is an equidigital number, since it uses as much as digits as its factorization.

135256900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The cubic root of 135256900 is about 513.3179799010.

Multiplying 135256900 by its product of nonzero digits (8100), we get a square (1095580890000 = 1046700²).

The spelling of 135256900 in words is "one hundred thirty-five million, two hundred fifty-six thousand, nine hundred".