157140 has 60 divisors (see below), whose sum is σ = 498036. Its totient is φ = 41472.

The previous prime is 157133. The next prime is 157141. The reversal of 157140 is 41751.

157140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 93636 = 252^2 + 306^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1572 + ... + 1668.

2¹⁵⁷¹⁴⁰ is an apocalyptic number.

157140 is a gapful number since it is divisible by the number (10) 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 157140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249018).

157140 is an abundant number, since it is smaller than the sum of its proper divisors (340896).

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

157140 is a wasteful number, since it uses less digits than its factorization.

157140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 157140 is about 396.4088798198. The cubic root of 157140 is about 53.9629375313.

Adding to 157140 its reverse (41751), we get a palindrome (198891).

The spelling of 157140 in words is "one hundred fifty-seven thousand, one hundred forty".