157638 has 32 divisors (see below), whose sum is σ = 354816. Its totient is φ = 46368.

The previous prime is 157637. The next prime is 157639. The reversal of 157638 is 836751.

It is an interprime number because it is at equal distance from previous prime (157637) and next prime (157639).

It is a d-powerful number, because it can be written as 1 + 5⁷ + 6⁶ + 7 + 3⁴ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3331 + ... + 3377.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2¹⁵⁷⁶³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177408).

157638 is an abundant number, since it is smaller than the sum of its proper divisors (197178).

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

157638 is a wasteful number, since it uses less digits than its factorization.

157638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108.

The product of its digits is 5040, while the sum is 30.

The square root of 157638 is about 397.0365222495. The cubic root of 157638 is about 54.0198829388.

The spelling of 157638 in words is "one hundred fifty-seven thousand, six hundred thirty-eight".