135306864 has 120 divisors (see below), whose sum is σ = 472148352. Its totient is φ = 35141760.

The previous prime is 135306863. The next prime is 135306881. The reversal of 135306864 is 468603531.

135306864 is a `hidden beast` number, since 1 + 3 + 530 + 68 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135306863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4987 + ... + 17189.

Almost surely, 2^135306864 is an apocalyptic number.

135306864 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 135306864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236074176).

135306864 is an abundant number, since it is smaller than the sum of its proper divisors (336841488).

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

135306864 is a wasteful number, since it uses less digits than its factorization.

135306864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12235 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 135306864 is about 11632.1478670106. The cubic root of 135306864 is about 513.3811788016.

The spelling of 135306864 in words is "one hundred thirty-five million, three hundred six thousand, eight hundred sixty-four".