153564256 has 48 divisors (see below), whose sum is σ = 309960000. Its totient is φ = 74867328.

The previous prime is 153564241. The next prime is 153564269. The reversal of 153564256 is 652465351.

153564256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307495 + ... + 307993.

It is an arithmetic number, because the mean of its divisors is an integer number (6457500).

Almost surely, 2^153564256 is an apocalyptic number.

153564256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154980000).

153564256 is an abundant number, since it is smaller than the sum of its proper divisors (156395744).

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

153564256 is a wasteful number, since it uses less digits than its factorization.

153564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 723 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 153564256 is about 12392.1045831610. The cubic root of 153564256 is about 535.5048148093.

The spelling of 153564256 in words is "one hundred fifty-three million, five hundred sixty-four thousand, two hundred fifty-six".