135264140 has 48 divisors (see below), whose sum is σ = 311550624. Its totient is φ = 48921600.

The previous prime is 135264133. The next prime is 135264161. The reversal of 135264140 is 41462531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41780 + ... + 44900.

It is an arithmetic number, because the mean of its divisors is an integer number (6490638).

Almost surely, 2^135264140 is an apocalyptic number.

135264140 is a gapful number since it is divisible by the number (10) 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 135264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155775312).

135264140 is an abundant number, since it is smaller than the sum of its proper divisors (176286484).

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

135264140 is a wasteful number, since it uses less digits than its factorization.

135264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 135264140 is about 11630.3112598073. The cubic root of 135264140 is about 513.3271386595.

The spelling of 135264140 in words is "one hundred thirty-five million, two hundred sixty-four thousand, one hundred forty".