138760380 has 216 divisors, whose sum is σ = 484507296. Its totient is φ = 32060160.

The previous prime is 138760373. The next prime is 138760381. The reversal of 138760380 is 83067831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138760381) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 500802 + ... + 501078.

Almost surely, 2^138760380 is an apocalyptic number.

138760380 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 138760380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242253648).

138760380 is an abundant number, since it is smaller than the sum of its proper divisors (345746916).

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

138760380 is a wasteful number, since it uses less digits than its factorization.

138760380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 138760380 is about 11779.6595876112. The cubic root of 138760380 is about 517.7123122396.

The spelling of 138760380 in words is "one hundred thirty-eight million, seven hundred sixty thousand, three hundred eighty".