138673512 has 64 divisors (see below), whose sum is σ = 387441600. Its totient is φ = 45956160.

The previous prime is 138673511. The next prime is 138673517. The reversal of 138673512 is 215376831.

138673512 is a `hidden beast` number, since 138 + 6 + 7 + 3 + 512 = 666.

138673512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (138673511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37323 + ... + 40869.

It is an arithmetic number, because the mean of its divisors is an integer number (6053775).

Almost surely, 2^138673512 is an apocalyptic number.

138673512 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 138673512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193720800).

138673512 is an abundant number, since it is smaller than the sum of its proper divisors (248768088).

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

138673512 is a wasteful number, since it uses less digits than its factorization.

138673512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3733 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 138673512 is about 11775.9718070315. The cubic root of 138673512 is about 517.6042554078.

The spelling of 138673512 in words is "one hundred thirty-eight million, six hundred seventy-three thousand, five hundred twelve".