138100950 has 240 divisors, whose sum is σ = 429774576. Its totient is φ = 32659200.

The previous prime is 138100913. The next prime is 138100967. The reversal of 138100950 is 59001831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2263920 + ... + 2263980.

Almost surely, 2^138100950 is an apocalyptic number.

138100950 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 138100950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214887288).

138100950 is an abundant number, since it is smaller than the sum of its proper divisors (291673626).

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

138100950 is a wasteful number, since it uses less digits than its factorization.

138100950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 138100950 is about 11751.6360563115. The cubic root of 138100950 is about 516.8909027819.

The spelling of 138100950 in words is "one hundred thirty-eight million, one hundred thousand, nine hundred fifty".