157356 has 48 divisors (see below), whose sum is σ = 430080. Its totient is φ = 49680.

The previous prime is 157351. The next prime is 157363. The reversal of 157356 is 653751.

157356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (157351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3325 + ... + 3371.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2¹⁵⁷³⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215040).

157356 is an abundant number, since it is smaller than the sum of its proper divisors (272724).

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

157356 is a wasteful number, since it uses less digits than its factorization.

157356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 157356 is about 396.6812322256. The cubic root of 157356 is about 53.9876514974.

It can be divided in two parts, 1573 and 56, that multiplied together give a palindrome (88088).

The spelling of 157356 in words is "one hundred fifty-seven thousand, three hundred fifty-six".