138012000 has 384 divisors, whose sum is σ = 543449088. Its totient is φ = 29952000.

The previous prime is 138011999. The next prime is 138012011. The reversal of 138012000 is 210831.

It is a happy number.

138012000 is digitally balanced in base 3, 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2603974 + ... + 2604026.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^138012000 is an apocalyptic number.

138012000 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 138012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271724544).

138012000 is an abundant number, since it is smaller than the sum of its proper divisors (405437088).

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

138012000 is a wasteful number, since it uses less digits than its factorization.

138012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 138012000 is about 11747.8508672863. The cubic root of 138012000 is about 516.7799034957.

Adding to 138012000 its reverse (210831), we get a palindrome (138222831).

The spelling of 138012000 in words is "one hundred thirty-eight million, twelve thousand".