138829950 has 240 divisors, whose sum is σ = 453720960. Its totient is φ = 30818880.

The previous prime is 138829937. The next prime is 138829987. The reversal of 138829950 is 59928831.

It is a happy number.

It is a super-3 number, since 3×138829950³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 138829896 and 138829905.

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, 1672609 + ... + 1672691.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^138829950 is an apocalyptic number.

138829950 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 138829950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

138829950 is an abundant number, since it is smaller than the sum of its proper divisors (314891010).

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

138829950 is a wasteful number, since it uses less digits than its factorization.

138829950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 138829950 is about 11782.6121891540. The cubic root of 138829950 is about 517.7988192285.

It can be divided in two parts, 13882 and 9950, that added together give a palindrome (23832).

The spelling of 138829950 in words is "one hundred thirty-eight million, eight hundred twenty-nine thousand, nine hundred fifty".