157493 has 8 divisors (see below), whose sum is σ = 182400. Its totient is φ = 133200.

The previous prime is 157489. The next prime is 157513. The reversal of 157493 is 394751.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 157493 - 2² = 157489 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157493.

It is not an unprimeable number, because it can be changed into a prime (157433) 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, 968 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (22800).

2¹⁵⁷⁴⁹³ is an apocalyptic number.

It is an amenable number.

157493 is a deficient number, since it is larger than the sum of its proper divisors (24907).

157493 is a wasteful number, since it uses less digits than its factorization.

157493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307.

The product of its digits is 3780, while the sum is 29.

The square root of 157493 is about 396.8538773907. The cubic root of 157493 is about 54.0033148399.

Subtracting from 157493 its sum of digits (29), we obtain a cube (157464 = 54³).

The spelling of 157493 in words is "one hundred fifty-seven thousand, four hundred ninety-three".