157530 has 32 divisors (see below), whose sum is σ = 388800. Its totient is φ = 40832.

The previous prime is 157523. The next prime is 157543. The reversal of 157530 is 35751.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 157497 and 157506.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157530.

It is an unprimeable number.

157530 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 15 ways as a sum of consecutive naturals, for example, 1726 + ... + 1814.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2¹⁵⁷⁵³⁰ is an apocalyptic number.

157530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

157530 is an abundant number, since it is smaller than the sum of its proper divisors (231270).

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

157530 is a wasteful number, since it uses less digits than its factorization.

157530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 157530 is about 396.9004913073. The cubic root of 157530 is about 54.0075435278.

The spelling of 157530 in words is "one hundred fifty-seven thousand, five hundred thirty".