157216000 has 144 divisors (see below), whose sum is σ = 416117520. Its totient is φ = 59187200.

The previous prime is 157215991. The next prime is 157216001. The reversal of 157216000 is 612751.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 43665664 + 113550336 = 6608^2 + 10656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157216001) 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 15 ways as a sum of consecutive naturals, for example, 9247992 + ... + 9248008.

It is an arithmetic number, because the mean of its divisors is an integer number (2889705).

Almost surely, 2^157216000 is an apocalyptic number.

157216000 is a gapful number since it is divisible by the number (10) 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 157216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208058760).

157216000 is an abundant number, since it is smaller than the sum of its proper divisors (258901520).

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

157216000 is an frugal number, since it uses more digits than its factorization.

157216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 157216000 is about 12538.5804619183. The cubic root of 157216000 is about 539.7163576692.

Adding to 157216000 its reverse (612751), we get a palindrome (157828751).

The spelling of 157216000 in words is "one hundred fifty-seven million, two hundred sixteen thousand".