135318816 has 48 divisors (see below), whose sum is σ = 394682400. Its totient is φ = 45105984.

The previous prime is 135318811. The next prime is 135318823. The reversal of 135318816 is 618813531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×135318816² = 36622363927283712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135318811) 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, 77446 + ... + 79173.

It is an arithmetic number, because the mean of its divisors is an integer number (8222550).

Almost surely, 2^135318816 is an apocalyptic number.

135318816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135318816 is an abundant number, since it is smaller than the sum of its proper divisors (259363584).

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

135318816 is a wasteful number, since it uses less digits than its factorization.

135318816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156638 (or 156624 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 135318816 is about 11632.6616042933. The cubic root of 135318816 is about 513.3962944457.

The spelling of 135318816 in words is "one hundred thirty-five million, three hundred eighteen thousand, eight hundred sixteen".