382137000 has 256 divisors, whose sum is σ = 1408942080. Its totient is φ = 84384000.

The previous prime is 382136971. The next prime is 382137011. The reversal of 382137000 is 731283.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 650707 + ... + 651293.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^382137000 is an apocalyptic number.

382137000 is a gapful number since it is divisible by the number (30) 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 382137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

382137000 is an abundant number, since it is smaller than the sum of its proper divisors (1026805080).

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

382137000 is a wasteful number, since it uses less digits than its factorization.

382137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 382137000 is about 19548.3247364064. The cubic root of 382137000 is about 725.6708811863.

Adding to 382137000 its reverse (731283), we get a palindrome (382868283).

The spelling of 382137000 in words is "three hundred eighty-two million, one hundred thirty-seven thousand".