138833190 has 192 divisors, whose sum is σ = 410941440. Its totient is φ = 33592320.

The previous prime is 138833183. The next prime is 138833239. The reversal of 138833190 is 91338831.

It is a super-2 number, since 2×138833190² = 38549309291152200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1431222 + ... + 1431318.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^138833190 is an apocalyptic number.

138833190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138833190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205470720).

138833190 is an abundant number, since it is smaller than the sum of its proper divisors (272108250).

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

138833190 is a wasteful number, since it uses less digits than its factorization.

138833190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 138833190 is about 11782.7496790859. The cubic root of 138833190 is about 517.8028473102.

The spelling of 138833190 in words is "one hundred thirty-eight million, eight hundred thirty-three thousand, one hundred ninety".