138348384040 has 64 divisors (see below), whose sum is σ = 319007525760. Its totient is φ = 53970174720.

The previous prime is 138348384037. The next prime is 138348384047. The reversal of 138348384040 is 40483843831.

It is not an unprimeable number, because it can be changed into a prime (138348384047) 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, 1076077 + ... + 1197763.

It is an arithmetic number, because the mean of its divisors is an integer number (4984492590).

Almost surely, 2^138348384040 is an apocalyptic number.

138348384040 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 138348384040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159503762880).

138348384040 is an abundant number, since it is smaller than the sum of its proper divisors (180659141720).

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

138348384040 is a wasteful number, since it uses less digits than its factorization.

138348384040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122402 (or 122398 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 138348384040 in words is "one hundred thirty-eight billion, three hundred forty-eight million, three hundred eighty-four thousand, forty".