182157107000 has 128 divisors (see below), whose sum is σ = 465227642880. Its totient is φ = 66206160000.

The previous prime is 182157106993. The next prime is 182157107003. The reversal of 182157107000 is 701751281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182157107003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39674705 + ... + 39679295.

It is an arithmetic number, because the mean of its divisors is an integer number (3634590960).

Almost surely, 2^182157107000 is an apocalyptic number.

182157107000 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 182157107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232613821440).

182157107000 is an abundant number, since it is smaller than the sum of its proper divisors (283070535880).

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

182157107000 is a wasteful number, since it uses less digits than its factorization.

182157107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8230 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 32.

Adding to 182157107000 its reverse (701751281), we get a palindrome (182858858281).

The spelling of 182157107000 in words is "one hundred eighty-two billion, one hundred fifty-seven million, one hundred seven thousand".