138381450 has 48 divisors (see below), whose sum is σ = 345707040. Its totient is φ = 36630720.

The previous prime is 138381449. The next prime is 138381493. The reversal of 138381450 is 54183831.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17532 + ... + 24168.

It is an arithmetic number, because the mean of its divisors is an integer number (7202230).

Almost surely, 2^138381450 is an apocalyptic number.

138381450 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 138381450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172853520).

138381450 is an abundant number, since it is smaller than the sum of its proper divisors (207325590).

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

138381450 is a wasteful number, since it uses less digits than its factorization.

138381450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6791 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 138381450 is about 11763.5645108105. The cubic root of 138381450 is about 517.2406224280.

Subtracting from 138381450 its product of nonzero digits (11520), we obtain a triangular number (138369930 = T₁₆₆₃₅).

It can be divided in two parts, 138381 and 450, that added together give a palindrome (138831).

The spelling of 138381450 in words is "one hundred thirty-eight million, three hundred eighty-one thousand, four hundred fifty".