138015072 has 144 divisors (see below), whose sum is σ = 427085568. Its totient is φ = 42024960.

The previous prime is 138015071. The next prime is 138015103. The reversal of 138015072 is 270510831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138015071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715008 + ... + 715200.

It is an arithmetic number, because the mean of its divisors is an integer number (2965872).

Almost surely, 2^138015072 is an apocalyptic number.

138015072 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 138015072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213542784).

138015072 is an abundant number, since it is smaller than the sum of its proper divisors (289070496).

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

138015072 is a wasteful number, since it uses less digits than its factorization.

138015072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 138015072 is about 11747.9816138773. The cubic root of 138015072 is about 516.7837377905.

The spelling of 138015072 in words is "one hundred thirty-eight million, fifteen thousand, seventy-two".