153435564 has 72 divisors (see below), whose sum is σ = 412492080. Its totient is φ = 47952000.

The previous prime is 153435551. The next prime is 153435587. The reversal of 153435564 is 465534351.

153435564 is a `hidden beast` number, since 1 + 53 + 43 + 5 + 564 = 666.

153435564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 67974 + ... + 70194.

Almost surely, 2^153435564 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 153435564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206246040).

153435564 is an abundant number, since it is smaller than the sum of its proper divisors (259056516).

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

153435564 is a wasteful number, since it uses less digits than its factorization.

153435564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2346 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 153435564 is about 12386.9109950786. The cubic root of 153435564 is about 535.3551826673.

The spelling of 153435564 in words is "one hundred fifty-three million, four hundred thirty-five thousand, five hundred sixty-four".