138037950 has 72 divisors (see below), whose sum is σ = 387015408. Its totient is φ = 35207040.

The previous prime is 138037891. The next prime is 138037961. The reversal of 138037950 is 59730831.

138037950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3682 + ... + 17018.

It is an arithmetic number, because the mean of its divisors is an integer number (5375214).

Almost surely, 2^138037950 is an apocalyptic number.

138037950 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 138037950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193507704).

138037950 is an abundant number, since it is smaller than the sum of its proper divisors (248977458).

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

138037950 is a wasteful number, since it uses less digits than its factorization.

138037950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13378 (or 13370 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 138037950 is about 11748.9552727040. The cubic root of 138037950 is about 516.8122910129.

The spelling of 138037950 in words is "one hundred thirty-eight million, thirty-seven thousand, nine hundred fifty".