138250944 has 168 divisors, whose sum is σ = 439166000. Its totient is φ = 41306112.

The previous prime is 138250933. The next prime is 138250963. The reversal of 138250944 is 449052831.

138250944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138250944² = 38226647033782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138250899 and 138250908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276807 + ... + 277305.

Almost surely, 2^138250944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219583000).

138250944 is an abundant number, since it is smaller than the sum of its proper divisors (300915056).

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

138250944 is a wasteful number, since it uses less digits than its factorization.

138250944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 138250944 is about 11758.0161591996. The cubic root of 138250944 is about 517.0779700006.

It can be divided in two parts, 1382 and 50944, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 138250944 in words is "one hundred thirty-eight million, two hundred fifty thousand, nine hundred forty-four".