157645 has 8 divisors (see below), whose sum is σ = 194040. Its totient is φ = 122880.

The previous prime is 157639. The next prime is 157649. The reversal of 157645 is 546751.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 157609 = 6^2 + 397^2 .

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

It is not a de Polignac number, because 157645 - 2³ = 157637 is a prime.

It is a super-3 number, since 3×157645³ = 11753355093333375, which contains 333 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180 + ... + 589.

It is an arithmetic number, because the mean of its divisors is an integer number (24255).

2¹⁵⁷⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

157645 is a deficient number, since it is larger than the sum of its proper divisors (36395).

157645 is an equidigital number, since it uses as much as digits as its factorization.

157645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its digits is 4200, while the sum is 28.

The square root of 157645 is about 397.0453374616. The cubic root of 157645 is about 54.0206825209.

The spelling of 157645 in words is "one hundred fifty-seven thousand, six hundred forty-five".