157122 has 48 divisors (see below), whose sum is σ = 411840. Its totient is φ = 42336.

The previous prime is 157109. The next prime is 157127. The reversal of 157122 is 221751.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 157095 and 157104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157127) by changing a digit.

157122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3633 + ... + 3675.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2¹⁵⁷¹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205920).

157122 is an abundant number, since it is smaller than the sum of its proper divisors (254718).

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

157122 is a wasteful number, since it uses less digits than its factorization.

157122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 84 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 157122 is about 396.3861753392. The cubic root of 157122 is about 53.9608770120.

Adding to 157122 its reverse (221751), we get a palindrome (378873).

The spelling of 157122 in words is "one hundred fifty-seven thousand, one hundred twenty-two".