138057216 has 80 divisors (see below), whose sum is σ = 401277888. Its totient is φ = 41830400.

The previous prime is 138057181. The next prime is 138057217. The reversal of 138057216 is 612750831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138057217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12811 + ... + 20981.

Almost surely, 2^138057216 is an apocalyptic number.

138057216 is a gapful number since it is divisible by the number (16) 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 138057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200638944).

138057216 is an abundant number, since it is smaller than the sum of its proper divisors (263220672).

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

138057216 is an equidigital number, since it uses as much as digits as its factorization.

138057216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 138057216 is about 11749.7751467847. The cubic root of 138057216 is about 516.8363337789.

The spelling of 138057216 in words is "one hundred thirty-eight million, fifty-seven thousand, two hundred sixteen".