135268992 has 96 divisors (see below), whose sum is σ = 402772500. Its totient is φ = 43524096.

The previous prime is 135268951. The next prime is 135268993. The reversal of 135268992 is 299862531.

It can be written as a sum of positive squares in 2 ways, for example, as 133263936 + 2005056 = 11544^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (135268993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31384 + ... + 35432.

Almost surely, 2^135268992 is an apocalyptic number.

135268992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201386250).

135268992 is an abundant number, since it is smaller than the sum of its proper divisors (267503508).

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

135268992 is a wasteful number, since it uses less digits than its factorization.

135268992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4083 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 135268992 is about 11630.5198508063. The cubic root of 135268992 is about 513.3332763629. Note that the first 3 decimals are identical.

The spelling of 135268992 in words is "one hundred thirty-five million, two hundred sixty-eight thousand, nine hundred ninety-two".