138187000 has 128 divisors (see below), whose sum is σ = 389376000. Its totient is φ = 44841600.

The previous prime is 138186991. The next prime is 138187009. The reversal of 138187000 is 781831.

It is a happy number.

138187000 is a nontrivial binomial coefficient, being equal to C(16625, 2).

It is an interprime number because it is at equal distance from previous prime (138186991) and next prime (138187009).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 138187000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138187009) 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, 132481 + ... + 133519.

It is an arithmetic number, because the mean of its divisors is an integer number (3042000).

Almost surely, 2^138187000 is an apocalyptic number.

138187000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138187000 is the 16624-th triangular number.

138187000 is the 5542-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138187000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194688000).

138187000 is an abundant number, since it is smaller than the sum of its proper divisors (251189000).

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

138187000 is a wasteful number, since it uses less digits than its factorization.

138187000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 138187000 is about 11755.2966785190. The cubic root of 138187000 is about 516.9982378564.

The spelling of 138187000 in words is "one hundred thirty-eight million, one hundred eighty-seven thousand".