149112 has 48 divisors (see below), whose sum is σ = 429000. Its totient is φ = 46656.

The previous prime is 149111. The next prime is 149113. The reversal of 149112 is 211941.

It is an interprime number because it is at equal distance from previous prime (149111) and next prime (149113).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149112.

It is not an unprimeable number, because it can be changed into a prime (149111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1314 + ... + 1422.

2¹⁴⁹¹¹² is an apocalyptic number.

149112 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 149112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214500).

149112 is an abundant number, since it is smaller than the sum of its proper divisors (279888).

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

149112 is a wasteful number, since it uses less digits than its factorization.

149112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 149112 is about 386.1502298329. The cubic root of 149112 is about 53.0278718951.

The spelling of 149112 in words is "one hundred forty-nine thousand, one hundred twelve".