156653856 has 144 divisors (see below), whose sum is σ = 466954488. Its totient is φ = 49766400.

The previous prime is 156653789. The next prime is 156653863. The reversal of 156653856 is 658356651.

156653856 is a `hidden beast` number, since 1 + 5 + 66 + 538 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 139712400 + 16941456 = 11820^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 649896 + ... + 650136.

Almost surely, 2^156653856 is an apocalyptic number.

156653856 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 156653856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233477244).

156653856 is an abundant number, since it is smaller than the sum of its proper divisors (310300632).

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

156653856 is a wasteful number, since it uses less digits than its factorization.

156653856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 156653856 is about 12516.1438150894. The cubic root of 156653856 is about 539.0723166807.

The spelling of 156653856 in words is "one hundred fifty-six million, six hundred fifty-three thousand, eight hundred fifty-six".