135633645 has 96 divisors (see below), whose sum is σ = 284723712. Its totient is φ = 58392576.

The previous prime is 135633637. The next prime is 135633671. The reversal of 135633645 is 546336531.

135633645 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 3 + 645 = 666.

135633645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135633645 - 2³ = 135633637 is a prime.

It is a super-3 number, since 3×135633645³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702669 + ... + 702861.

It is an arithmetic number, because the mean of its divisors is an integer number (2965872).

Almost surely, 2^135633645 is an apocalyptic number.

135633645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135633645 is an abundant number, since it is smaller than the sum of its proper divisors (149090067).

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

135633645 is a wasteful number, since it uses less digits than its factorization.

135633645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 328 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 135633645 is about 11646.1858563222. The cubic root of 135633645 is about 513.7941372562.

The spelling of 135633645 in words is "one hundred thirty-five million, six hundred thirty-three thousand, six hundred forty-five".