138971340 has 72 divisors (see below), whose sum is σ = 424421088. Its totient is φ = 36806400.

The previous prime is 138971323. The next prime is 138971363. The reversal of 138971340 is 43179831.

It is a happy number.

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 = 138971295 and 138971304.

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, 24624 + ... + 29736.

Almost surely, 2^138971340 is an apocalyptic number.

138971340 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 138971340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212210544).

138971340 is an abundant number, since it is smaller than the sum of its proper divisors (285449748).

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

138971340 is a wasteful number, since it uses less digits than its factorization.

138971340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 138971340 is about 11788.6106051561. The cubic root of 138971340 is about 517.9745419628.

The spelling of 138971340 in words is "one hundred thirty-eight million, nine hundred seventy-one thousand, three hundred forty".