153806256 has 80 divisors (see below), whose sum is σ = 456741600. Its totient is φ = 49496832.

The previous prime is 153806249. The next prime is 153806269. The reversal of 153806256 is 652608351.

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 153806256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6390 + ... + 18666.

It is an arithmetic number, because the mean of its divisors is an integer number (5709270).

Almost surely, 2^153806256 is an apocalyptic number.

153806256 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 153806256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228370800).

153806256 is an abundant number, since it is smaller than the sum of its proper divisors (302935344).

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

153806256 is a wasteful number, since it uses less digits than its factorization.

153806256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 153806256 is about 12401.8650210362. The cubic root of 153806256 is about 535.7859656315.

The spelling of 153806256 in words is "one hundred fifty-three million, eight hundred six thousand, two hundred fifty-six".