111538512 has 160 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 34618752.

The previous prime is 111538499. The next prime is 111538529. The reversal of 111538512 is 215835111.

111538512 is a `hidden beast` number, since 1 + 115 + 38 + 512 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878193 + ... + 878319.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^111538512 is an apocalyptic number.

111538512 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 111538512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

111538512 is an abundant number, since it is smaller than the sum of its proper divisors (231296688).

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

111538512 is a wasteful number, since it uses less digits than its factorization.

111538512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its digits is 1200, while the sum is 27.

The square root of 111538512 is about 10561.1794795847. The cubic root of 111538512 is about 481.3654868284.

The spelling of 111538512 in words is "one hundred eleven million, five hundred thirty-eight thousand, five hundred twelve".