138012900 has 72 divisors (see below), whose sum is σ = 400536864. Its totient is φ = 36691200.

The previous prime is 138012863. The next prime is 138012907. The reversal of 138012900 is 9210831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138012907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155859 + ... + 156741.

It is an arithmetic number, because the mean of its divisors is an integer number (5563012).

Almost surely, 2^138012900 is an apocalyptic number.

138012900 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 138012900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200268432).

138012900 is an abundant number, since it is smaller than the sum of its proper divisors (262523964).

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

138012900 is a wasteful number, since it uses less digits than its factorization.

138012900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 138012900 is about 11747.8891721024. The cubic root of 138012900 is about 516.7810268302.

The spelling of 138012900 in words is "one hundred thirty-eight million, twelve thousand, nine hundred".