138785712 has 80 divisors (see below), whose sum is σ = 388412640. Its totient is φ = 42448896.

The previous prime is 138785707. The next prime is 138785813. The reversal of 138785712 is 217587831.

It is a super-2 number, since 2×138785712² = 38522947710693888, which contains 22 as substring.

Its product of digits (94080) is a multiple of the sum of its prime divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122364 + ... + 123492.

It is an arithmetic number, because the mean of its divisors is an integer number (4855158).

Almost surely, 2^138785712 is an apocalyptic number.

138785712 is a gapful number since it is divisible by the number (12) 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 138785712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194206320).

138785712 is an abundant number, since it is smaller than the sum of its proper divisors (249626928).

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

138785712 is a wasteful number, since it uses less digits than its factorization.

138785712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The square root of 138785712 is about 11780.7347818377. The cubic root of 138785712 is about 517.7438147245.

The spelling of 138785712 in words is "one hundred thirty-eight million, seven hundred eighty-five thousand, seven hundred twelve".