157644 has 36 divisors (see below), whose sum is σ = 414960. Its totient is φ = 50400.

The previous prime is 157639. The next prime is 157649. The reversal of 157644 is 446751.

157644 is a `hidden beast` number, since 15 + 7 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (157639) and next prime (157649).

It is a tau number, because it is divible by the number of its divisors (36).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969 + ... + 1119.

2¹⁵⁷⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207480).

157644 is an abundant number, since it is smaller than the sum of its proper divisors (257316).

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

157644 is a wasteful number, since it uses less digits than its factorization.

157644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 157644 is about 397.0440781576. The cubic root of 157644 is about 54.0205682963.

The spelling of 157644 in words is "one hundred fifty-seven thousand, six hundred forty-four".