153305856 has 216 divisors, whose sum is σ = 505080576. Its totient is φ = 44267520.

The previous prime is 153305843. The next prime is 153305863. The reversal of 153305856 is 658503351.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 153305856.

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, 582781 + ... + 583043.

It is an arithmetic number, because the mean of its divisors is an integer number (2338336).

Almost surely, 2^153305856 is an apocalyptic number.

153305856 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 153305856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252540288).

153305856 is an abundant number, since it is smaller than the sum of its proper divisors (351774720).

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

153305856 is a wasteful number, since it uses less digits than its factorization.

153305856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 153305856 is about 12381.6742002041. The cubic root of 153305856 is about 535.2042845213.

The spelling of 153305856 in words is "one hundred fifty-three million, three hundred five thousand, eight hundred fifty-six".