157296 has 40 divisors (see below), whose sum is σ = 424080. Its totient is φ = 50176.

The previous prime is 157291. The next prime is 157303. The reversal of 157296 is 692751.

157296 = 54² + 55² + ... + 85².

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157291) by changing a digit.

157296 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 7 ways as a sum of consecutive naturals, for example, 1336 + ... + 1448.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2¹⁵⁷²⁹⁶ is an apocalyptic number.

157296 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 157296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212040).

157296 is an abundant number, since it is smaller than the sum of its proper divisors (266784).

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

157296 is a wasteful number, since it uses less digits than its factorization.

157296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 157296 is about 396.6055975399. The cubic root of 157296 is about 53.9807887766.

The spelling of 157296 in words is "one hundred fifty-seven thousand, two hundred ninety-six".