157216 has 24 divisors (see below), whose sum is σ = 328860. Its totient is φ = 73984.

The previous prime is 157211. The next prime is 157217. The reversal of 157216 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 2 ways, for example, as 156816 + 400 = 396^2 + 20^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9240 + ... + 9256.

2¹⁵⁷²¹⁶ is an apocalyptic number.

157216 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 157216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164430).

157216 is an abundant number, since it is smaller than the sum of its proper divisors (171644).

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

157216 is an frugal number, since it uses more digits than its factorization.

157216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 19 counting only the distinct ones).

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

The square root of 157216 is about 396.5047288495. The cubic root of 157216 is about 53.9716357669.

Adding to 157216 its reverse (612751), we get a palindrome (769967).

Subtracting 157216 from its reverse (612751), we obtain a triangular number (455535 = T₉₅₄).

It can be divided in two parts, 1572 and 16, that multiplied together give a palindrome (25152).

The spelling of 157216 in words is "one hundred fifty-seven thousand, two hundred sixteen".