135164040 has 64 divisors (see below), whose sum is σ = 442359360. Its totient is φ = 32766720.

The previous prime is 135164039. The next prime is 135164047. The reversal of 135164040 is 40461531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135164040.

It is not an unprimeable number, because it can be changed into a prime (135164047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49879 + ... + 52518.

It is an arithmetic number, because the mean of its divisors is an integer number (6911865).

Almost surely, 2^135164040 is an apocalyptic number.

135164040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135164040 is an abundant number, since it is smaller than the sum of its proper divisors (307195320).

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

135164040 is a wasteful number, since it uses less digits than its factorization.

135164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102422 (or 102418 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135164040 is about 11626.0070531546. The cubic root of 135164040 is about 513.2004809780.

The spelling of 135164040 in words is "one hundred thirty-five million, one hundred sixty-four thousand, forty".