47138112 has 168 divisors, whose sum is σ = 160503616. Its totient is φ = 13436928.

The previous prime is 47138083. The next prime is 47138129. The reversal of 47138112 is 21183174.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 108648 + ... + 109080.

Almost surely, 2^47138112 is an apocalyptic number.

47138112 is a gapful number since it is divisible by the number (42) 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 47138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80251808).

47138112 is an abundant number, since it is smaller than the sum of its proper divisors (113365504).

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

47138112 is an equidigital number, since it uses as much as digits as its factorization.

47138112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 445 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 47138112 is about 6865.7200642030. The cubic root of 47138112 is about 361.2357532406.

It can be divided in two parts, 471 and 38112, that added together give a palindrome (38583).

The spelling of 47138112 in words is "forty-seven million, one hundred thirty-eight thousand, one hundred twelve".