157038 has 16 divisors (see below), whose sum is σ = 359040. Its totient is φ = 44856.

The previous prime is 157037. The next prime is 157049. The reversal of 157038 is 830751.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 156999 and 157017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1828 + ... + 1911.

It is an arithmetic number, because the mean of its divisors is an integer number (22440).

2¹⁵⁷⁰³⁸ is an apocalyptic number.

157038 is an abundant number, since it is smaller than the sum of its proper divisors (202002).

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

157038 is a wasteful number, since it uses less digits than its factorization.

157038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 157038 is about 396.2802038962. The cubic root of 157038 is about 53.9512591744.

Adding to 157038 its reverse (830751), we get a palindrome (987789).

It can be divided in two parts, 15 and 7038, that multiplied together give a triangular number (105570 = T₄₅₉).

The spelling of 157038 in words is "one hundred fifty-seven thousand, thirty-eight".