135264624 has 80 divisors (see below), whose sum is σ = 383142144. Its totient is φ = 40780800.

The previous prime is 135264601. The next prime is 135264643. The reversal of 135264624 is 426462531.

135264624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135264624² = 36593037011722752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126717 + ... + 127779.

Almost surely, 2^135264624 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 135264624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191571072).

135264624 is an abundant number, since it is smaller than the sum of its proper divisors (247877520).

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

135264624 is a wasteful number, since it uses less digits than its factorization.

135264624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1320 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 135264624 is about 11630.3320674863. The cubic root of 135264624 is about 513.3277509185.

The spelling of 135264624 in words is "one hundred thirty-five million, two hundred sixty-four thousand, six hundred twenty-four".