157536 has 36 divisors (see below), whose sum is σ = 448812. Its totient is φ = 52416.

The previous prime is 157523. The next prime is 157543. The reversal of 157536 is 635751.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

157536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (12467).

2¹⁵⁷⁵³⁶ is an apocalyptic number.

157536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224406).

157536 is an abundant number, since it is smaller than the sum of its proper divisors (291276).

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

157536 is a wasteful number, since it uses less digits than its factorization.

157536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 157536 is about 396.9080498050. The cubic root of 157536 is about 54.0082291985.

The spelling of 157536 in words is "one hundred fifty-seven thousand, five hundred thirty-six".