138033940 has 48 divisors (see below), whose sum is σ = 320713344. Its totient is φ = 49481600.

The previous prime is 138033937. The next prime is 138033941. The reversal of 138033940 is 49330831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138033941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11202 + ... + 20038.

It is an arithmetic number, because the mean of its divisors is an integer number (6681528).

Almost surely, 2^138033940 is an apocalyptic number.

138033940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138033940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160356672).

138033940 is an abundant number, since it is smaller than the sum of its proper divisors (182679404).

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

138033940 is a wasteful number, since it uses less digits than its factorization.

138033940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 138033940 is about 11748.7846179935. The cubic root of 138033940 is about 516.8072865018.

The spelling of 138033940 in words is "one hundred thirty-eight million, thirty-three thousand, nine hundred forty".