135330624 has 336 divisors, whose sum is σ = 479291904. Its totient is φ = 35942400.

The previous prime is 135330599. The next prime is 135330631. The reversal of 135330624 is 426033531.

It is a happy number.

135330624 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 30 + 624 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553382 + ... + 2553434.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^135330624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

135330624 is an abundant number, since it is smaller than the sum of its proper divisors (343961280).

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

135330624 is a wasteful number, since it uses less digits than its factorization.

135330624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 135330624 is about 11633.1691296912. The cubic root of 135330624 is about 513.4112270995.

The spelling of 135330624 in words is "one hundred thirty-five million, three hundred thirty thousand, six hundred twenty-four".