138281472 has 160 divisors (see below), whose sum is σ = 468124800. Its totient is φ = 39481344.

The previous prime is 138281467. The next prime is 138281477. The reversal of 138281472 is 274182831.

It is an interprime number because it is at equal distance from previous prime (138281467) and next prime (138281477).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138281477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96054 + ... + 97482.

It is an arithmetic number, because the mean of its divisors is an integer number (2925780).

Almost surely, 2^138281472 is an apocalyptic number.

138281472 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 138281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234062400).

138281472 is an abundant number, since it is smaller than the sum of its proper divisors (329843328).

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

138281472 is an equidigital number, since it uses as much as digits as its factorization.

138281472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1441 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 138281472 is about 11759.3142657214. The cubic root of 138281472 is about 517.1160268704.

The spelling of 138281472 in words is "one hundred thirty-eight million, two hundred eighty-one thousand, four hundred seventy-two".