157530000 has 200 divisors, whose sum is σ = 522957600. Its totient is φ = 40832000.

The previous prime is 157529993. The next prime is 157530011. The reversal of 157530000 is 35751.

It is a happy number.

157530000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1769956 + ... + 1770044.

It is an arithmetic number, because the mean of its divisors is an integer number (2614788).

Almost surely, 2^157530000 is an apocalyptic number.

157530000 is a gapful number since it is divisible by the number (10) 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 157530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261478800).

157530000 is an abundant number, since it is smaller than the sum of its proper divisors (365427600).

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

157530000 is an equidigital number, since it uses as much as digits as its factorization.

157530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

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

The square root of 157530000 is about 12551.0955697102. The cubic root of 157530000 is about 540.0754352778.

Adding to 157530000 its reverse (35751), we get a palindrome (157565751).

The spelling of 157530000 in words is "one hundred fifty-seven million, five hundred thirty thousand".