157456 has 20 divisors (see below), whose sum is σ = 328972. Its totient is φ = 72576.

The previous prime is 157433. The next prime is 157457. The reversal of 157456 is 654751.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 99856 = 240^2 + 316^2 .

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157457) by changing a digit.

157456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171 + ... + 586.

2¹⁵⁷⁴⁵⁶ is an apocalyptic number.

157456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157456 is an abundant number, since it is smaller than the sum of its proper divisors (171516).

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

157456 is a wasteful number, since it uses less digits than its factorization.

157456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its digits is 4200, while the sum is 28.

The square root of 157456 is about 396.8072579981. The cubic root of 157456 is about 53.9990854898. Note that the first 3 decimals are identical.

It can be divided in two parts, 15745 and 6, that added together give a palindrome (15751).

The spelling of 157456 in words is "one hundred fifty-seven thousand, four hundred fifty-six".