138850272 has 144 divisors (see below), whose sum is σ = 441670320. Its totient is φ = 41011200.

The previous prime is 138850253. The next prime is 138850279. The reversal of 138850272 is 272058831.

138850272 is a `hidden beast` number, since 1 + 3 + 88 + 502 + 72 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138850279) 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, 129354 + ... + 130422.

It is an arithmetic number, because the mean of its divisors is an integer number (3067155).

Almost surely, 2^138850272 is an apocalyptic number.

138850272 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 138850272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220835160).

138850272 is an abundant number, since it is smaller than the sum of its proper divisors (302820048).

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

138850272 is a wasteful number, since it uses less digits than its factorization.

138850272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 138850272 is about 11783.4745300357. The cubic root of 138850272 is about 517.8240832156.

The spelling of 138850272 in words is "one hundred thirty-eight million, eight hundred fifty thousand, two hundred seventy-two".