135117864 has 48 divisors (see below), whose sum is σ = 418223520. Its totient is φ = 38604960.

The previous prime is 135117839. The next prime is 135117883. The reversal of 135117864 is 468711531.

135117864 is a `hidden beast` number, since 13 + 511 + 78 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133542 + ... + 134549.

It is an arithmetic number, because the mean of its divisors is an integer number (8712990).

Almost surely, 2^135117864 is an apocalyptic number.

135117864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135117864 is an abundant number, since it is smaller than the sum of its proper divisors (283105656).

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

135117864 is a wasteful number, since it uses less digits than its factorization.

135117864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268110 (or 268103 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 135117864 is about 11624.0209910340. The cubic root of 135117864 is about 513.1420328767.

It can be divided in two parts, 135117 and 864, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 135117864 in words is "one hundred thirty-five million, one hundred seventeen thousand, eight hundred sixty-four".