138252060 has 72 divisors (see below), whose sum is σ = 421236816. Its totient is φ = 36702720.

The previous prime is 138252031. The next prime is 138252061. The reversal of 138252060 is 60252831.

138252060 is a `hidden beast` number, since 1 + 3 + 82 + 520 + 60 = 666.

138252060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×138252060³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138252061) 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, 41787 + ... + 44973.

Almost surely, 2^138252060 is an apocalyptic number.

138252060 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 138252060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210618408).

138252060 is an abundant number, since it is smaller than the sum of its proper divisors (282984756).

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

138252060 is a wasteful number, since it uses less digits than its factorization.

138252060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138252060 is about 11758.0636160892. The cubic root of 138252060 is about 517.0793613292.

The spelling of 138252060 in words is "one hundred thirty-eight million, two hundred fifty-two thousand, sixty".