157842 has 32 divisors (see below), whose sum is σ = 364800. Its totient is φ = 50544.

The previous prime is 157841. The next prime is 157867. The reversal of 157842 is 248751.

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

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (157841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1959 + ... + 2037.

It is an arithmetic number, because the mean of its divisors is an integer number (11400).

2¹⁵⁷⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182400).

157842 is an abundant number, since it is smaller than the sum of its proper divisors (206958).

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

157842 is a wasteful number, since it uses less digits than its factorization.

157842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 157842 is about 397.2933425065. The cubic root of 157842 is about 54.0431753468.

Subtracting 157842 from its reverse (248751), we obtain a palindrome (90909).

It can be divided in two parts, 157 and 842, that added together give a palindrome (999).

The spelling of 157842 in words is "one hundred fifty-seven thousand, eight hundred forty-two".