42145116 has 96 divisors (see below), whose sum is σ = 113836800. Its totient is φ = 12026880.

The previous prime is 42145099. The next prime is 42145127. The reversal of 42145116 is 61154124.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 174756 + ... + 174996.

It is an arithmetic number, because the mean of its divisors is an integer number (1185800).

Almost surely, 2^42145116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42145116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56918400).

42145116 is an abundant number, since it is smaller than the sum of its proper divisors (71691684).

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

42145116 is a wasteful number, since it uses less digits than its factorization.

42145116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 42145116 is about 6491.9269866504. The cubic root of 42145116 is about 348.0025432500.

The spelling of 42145116 in words is "forty-two million, one hundred forty-five thousand, one hundred sixteen".