138358272 has 160 divisors (see below), whose sum is σ = 409036320. Its totient is φ = 41533440.

The previous prime is 138358211. The next prime is 138358273. The reversal of 138358272 is 272853831.

138358272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138358272² = 38286022861651968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 138358272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138358273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3374572 + ... + 3374612.

It is an arithmetic number, because the mean of its divisors is an integer number (2556477).

Almost surely, 2^138358272 is an apocalyptic number.

138358272 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 138358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204518160).

138358272 is an abundant number, since it is smaller than the sum of its proper divisors (270678048).

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

138358272 is an frugal number, since it uses more digits than its factorization.

138358272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 138358272 is about 11762.5793089781. The cubic root of 138358272 is about 517.2117426599.

The spelling of 138358272 in words is "one hundred thirty-eight million, three hundred fifty-eight thousand, two hundred seventy-two".