157540 has 12 divisors (see below), whose sum is σ = 330876. Its totient is φ = 63008.

The previous prime is 157523. The next prime is 157543. The reversal of 157540 is 45751.

157540 = T₆₈ + T₆₉ + ... + T₁₀₇.

157540 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 39204 + 118336 = 198^2 + 344^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (157543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3919 + ... + 3958.

It is an arithmetic number, because the mean of its divisors is an integer number (27573).

2¹⁵⁷⁵⁴⁰ is an apocalyptic number.

157540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157540 is an abundant number, since it is smaller than the sum of its proper divisors (173336).

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

157540 is a wasteful number, since it uses less digits than its factorization.

157540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 157540 is about 396.9130887235. The cubic root of 157540 is about 54.0086863027.

The spelling of 157540 in words is "one hundred fifty-seven thousand, five hundred forty".