138973980 has 192 divisors, whose sum is σ = 444165120. Its totient is φ = 32256000.

The previous prime is 138973957. The next prime is 138973987. The reversal of 138973980 is 89379831.

It is a super-3 number, since 3×138973980³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138973987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1375930 + ... + 1376030.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 2^138973980 is an apocalyptic number.

138973980 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 138973980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

138973980 is an abundant number, since it is smaller than the sum of its proper divisors (305191140).

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

138973980 is a wasteful number, since it uses less digits than its factorization.

138973980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 138973980 is about 11788.7225771073. The cubic root of 138973980 is about 517.9778218816.

The spelling of 138973980 in words is "one hundred thirty-eight million, nine hundred seventy-three thousand, nine hundred eighty".