135931264 has 64 divisors (see below), whose sum is σ = 311385600. Its totient is φ = 57899520.

The previous prime is 135931253. The next prime is 135931267. The reversal of 135931264 is 462139531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135931267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188697 + ... + 189415.

It is an arithmetic number, because the mean of its divisors is an integer number (4865400).

Almost surely, 2^135931264 is an apocalyptic number.

135931264 is a gapful number since it is divisible by the number (14) 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 135931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155692800).

135931264 is an abundant number, since it is smaller than the sum of its proper divisors (175454336).

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

135931264 is an equidigital number, since it uses as much as digits as its factorization.

135931264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 939 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 135931264 is about 11658.9563855433. The cubic root of 135931264 is about 514.1696664673.

It can be divided in two parts, 1359 and 31264, that added together give a palindrome (32623).

The spelling of 135931264 in words is "one hundred thirty-five million, nine hundred thirty-one thousand, two hundred sixty-four".