157221856 has 48 divisors (see below), whose sum is σ = 338975280. Its totient is φ = 71188480.

The previous prime is 157221851. The next prime is 157221871. The reversal of 157221856 is 658122751.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157221851) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 110880 + ... + 112288.

It is an arithmetic number, because the mean of its divisors is an integer number (7061985).

Almost surely, 2^157221856 is an apocalyptic number.

157221856 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 157221856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169487640).

157221856 is an abundant number, since it is smaller than the sum of its proper divisors (181753424).

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

157221856 is a wasteful number, since it uses less digits than its factorization.

157221856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1739 counting only the distinct ones).

The product of its digits is 33600, while the sum is 37.

The square root of 157221856 is about 12538.8139790014. The cubic root of 157221856 is about 539.7230587254.

It can be divided in two parts, 15722 and 1856, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 157221856 in words is "one hundred fifty-seven million, two hundred twenty-one thousand, eight hundred fifty-six".