135693504 has 84 divisors (see below), whose sum is σ = 399515584. Its totient is φ = 44001792.

The previous prime is 135693457. The next prime is 135693511. The reversal of 135693504 is 405396531.

135693504 is a `hidden beast` number, since 13 + 56 + 93 + 504 = 666.

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 11 ways as a sum of consecutive naturals, for example, 18129 + ... + 24495.

Almost surely, 2^135693504 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 135693504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199757792).

135693504 is an abundant number, since it is smaller than the sum of its proper divisors (263822080).

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

135693504 is a wasteful number, since it uses less digits than its factorization.

135693504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 135693504 is about 11648.7554700062. The cubic root of 135693504 is about 513.8697101471.

The spelling of 135693504 in words is "one hundred thirty-five million, six hundred ninety-three thousand, five hundred four".