10138000 has 80 divisors (see below), whose sum is σ = 25359984. Its totient is φ = 3916800.

The previous prime is 10137997. The next prime is 10138003. The reversal of 10138000 is 83101.

It is an interprime number because it is at equal distance from previous prime (10137997) and next prime (10138003).

It can be written as a sum of positive squares in 8 ways, for example, as 1089936 + 9048064 = 1044^2 + 3008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10138003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73932 + ... + 74068.

Almost surely, 2^10138000 is an apocalyptic number.

10138000 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 10138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12679992).

10138000 is an abundant number, since it is smaller than the sum of its proper divisors (15221984).

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

10138000 is a wasteful number, since it uses less digits than its factorization.

10138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10138000 is about 3184.0226129850. The cubic root of 10138000 is about 216.4299848091.

The spelling of 10138000 in words is "ten million, one hundred thirty-eight thousand".