157440 has 72 divisors (see below), whose sum is σ = 515088. Its totient is φ = 40960.

The previous prime is 157433. The next prime is 157457. The reversal of 157440 is 44751.

It is a congruent number.

It is an unprimeable number.

157440 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 in 7 ways as a sum of consecutive naturals, for example, 3820 + ... + 3860.

It is an arithmetic number, because the mean of its divisors is an integer number (7154).

2¹⁵⁷⁴⁴⁰ is an apocalyptic number.

157440 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 157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257544).

157440 is an abundant number, since it is smaller than the sum of its proper divisors (357648).

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

157440 is an equidigital number, since it uses as much as digits as its factorization.

157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 157440 is about 396.7870965644. The cubic root of 157440 is about 53.9972563764.

The spelling of 157440 in words is "one hundred fifty-seven thousand, four hundred forty".