135555264 has 168 divisors, whose sum is σ = 429180752. Its totient is φ = 40642560.

The previous prime is 135555247. The next prime is 135555319. The reversal of 135555264 is 462555531.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321774 + ... + 322194.

Almost surely, 2^135555264 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 135555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214590376).

135555264 is an abundant number, since it is smaller than the sum of its proper divisors (293625488).

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

135555264 is a wasteful number, since it uses less digits than its factorization.

135555264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 482 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 135555264 is about 11642.8202768917. The cubic root of 135555264 is about 513.6951464336.

The spelling of 135555264 in words is "one hundred thirty-five million, five hundred fifty-five thousand, two hundred sixty-four".