135505504 has 48 divisors (see below), whose sum is σ = 283989888. Its totient is φ = 63424512.

The previous prime is 135505481. The next prime is 135505529. The reversal of 135505504 is 405505531.

It is a super-2 number, since 2×135505504² = 36723483228588032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120754 + ... + 121870.

It is an arithmetic number, because the mean of its divisors is an integer number (5916456).

Almost surely, 2^135505504 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 135505504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141994944).

135505504 is an abundant number, since it is smaller than the sum of its proper divisors (148484384).

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

135505504 is a wasteful number, since it uses less digits than its factorization.

135505504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 135505504 is about 11640.6831414655. The cubic root of 135505504 is about 513.6322825307.

The spelling of 135505504 in words is "one hundred thirty-five million, five hundred five thousand, five hundred four".