157312 has 16 divisors (see below), whose sum is σ = 313650. Its totient is φ = 78592.

The previous prime is 157307. The next prime is 157321. The reversal of 157312 is 213751.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 69696 = 296^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 157312.

It is an unprimeable number.

157312 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 as a sum of consecutive naturals, namely, 487 + ... + 742.

2¹⁵⁷³¹² is an apocalyptic number.

It is an amenable number.

157312 is a deficient number, since it is larger than the sum of its proper divisors (156338).

157312 is an equidigital number, since it uses as much as digits as its factorization.

157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1231 counting only the distinct ones).

The product of its digits is 210, while the sum is 19.

The square root of 157312 is about 396.6257681997. The cubic root of 157312 is about 53.9826190061.

It can be divided in two parts, 157 and 312, that multiplied together give a palindrome (48984).

The spelling of 157312 in words is "one hundred fifty-seven thousand, three hundred twelve".