138631380 has 96 divisors (see below), whose sum is σ = 406576128. Its totient is φ = 35251200.

The previous prime is 138631369. The next prime is 138631403. The reversal of 138631380 is 83136831.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 135270 + ... + 136290.

It is an arithmetic number, because the mean of its divisors is an integer number (4235168).

Almost surely, 2^138631380 is an apocalyptic number.

138631380 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 138631380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203288064).

138631380 is an abundant number, since it is smaller than the sum of its proper divisors (267944748).

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

138631380 is a wasteful number, since it uses less digits than its factorization.

138631380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 138631380 is about 11774.1827741886. The cubic root of 138631380 is about 517.5518303242.

The spelling of 138631380 in words is "one hundred thirty-eight million, six hundred thirty-one thousand, three hundred eighty".