135582736 has 45 divisors (see below), whose sum is σ = 273100669. Its totient is φ = 65206400.

The previous prime is 135582731. The next prime is 135582757. The reversal of 135582736 is 637285531.

The square root of 135582736 is 11644.

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., 6533136 + 129049600 = 2556^2 + 11360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135582731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1909581 + ... + 1909651.

Almost surely, 2^135582736 is an apocalyptic number.

135582736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135582736 is the 11644-th square number.

It is an amenable number.

135582736 is an abundant number, since it is smaller than the sum of its proper divisors (137517933).

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

135582736 is an frugal number, since it uses more digits than its factorization.

135582736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 114 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The cubic root of 135582736 is about 513.7298463766.

The spelling of 135582736 in words is "one hundred thirty-five million, five hundred eighty-two thousand, seven hundred thirty-six".