182113000 has 64 divisors (see below), whose sum is σ = 428360400. Its totient is φ = 72467200.

The previous prime is 182112977. The next prime is 182113049. The reversal of 182113000 is 311281.

182113000 = 11² + 12² + ... + 817².

It can be written as a sum of positive squares in 8 ways, for example, as 13060996 + 169052004 = 3614^2 + 13002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268662 + ... + 269338.

Almost surely, 2^182113000 is an apocalyptic number.

182113000 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 182113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214180200).

182113000 is an abundant number, since it is smaller than the sum of its proper divisors (246247400).

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

182113000 is a wasteful number, since it uses less digits than its factorization.

182113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 182113000 is about 13494.9249720034. The cubic root of 182113000 is about 566.8223716684.

Adding to 182113000 its reverse (311281), we get a palindrome (182424281).

The spelling of 182113000 in words is "one hundred eighty-two million, one hundred thirteen thousand".