112985145 has 128 divisors (see below), whose sum is σ = 262241280. Its totient is φ = 44789760.

The previous prime is 112985143. The next prime is 112985183. The reversal of 112985145 is 541589211.

It is not a de Polignac number, because 112985145 - 2¹ = 112985143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112985141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 208575 + ... + 209115.

It is an arithmetic number, because the mean of its divisors is an integer number (2048760).

Almost surely, 2^112985145 is an apocalyptic number.

112985145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112985145 is an abundant number, since it is smaller than the sum of its proper divisors (149256135).

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

112985145 is a wasteful number, since it uses less digits than its factorization.

112985145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 112985145 is about 10629.4470693447. The cubic root of 112985145 is about 483.4376265891.

The spelling of 112985145 in words is "one hundred twelve million, nine hundred eighty-five thousand, one hundred forty-five".