42149184 has 112 divisors (see below), whose sum is σ = 139086336. Its totient is φ = 10944000.

The previous prime is 42149167. The next prime is 42149203. The reversal of 42149184 is 48194124.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13359 + ... + 16209.

Almost surely, 2^42149184 is an apocalyptic number.

42149184 is a gapful number since it is divisible by the number (44) 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 42149184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69543168).

42149184 is an abundant number, since it is smaller than the sum of its proper divisors (96937152).

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

42149184 is a wasteful number, since it uses less digits than its factorization.

42149184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2874 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 42149184 is about 6492.2402913016. The cubic root of 42149184 is about 348.0137397138.

The spelling of 42149184 in words is "forty-two million, one hundred forty-nine thousand, one hundred eighty-four".