111601152 has 280 divisors, whose sum is σ = 375694704. Its totient is φ = 32845824.

The previous prime is 111601103. The next prime is 111601183. The reversal of 111601152 is 251106111.

It is a happy number.

111601152 is a `hidden beast` number, since 1 + 11 + 601 + 1 + 52 = 666.

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

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 27 ways as a sum of consecutive naturals, for example, 4852213 + ... + 4852235.

Almost surely, 2^111601152 is an apocalyptic number.

111601152 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 111601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187847352).

111601152 is an abundant number, since it is smaller than the sum of its proper divisors (264093552).

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

111601152 is an frugal number, since it uses more digits than its factorization.

111601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 111601152 is about 10564.1446411908. The cubic root of 111601152 is about 481.4555815432.

Adding to 111601152 its reverse (251106111), we get a palindrome (362707263).

The spelling of 111601152 in words is "one hundred eleven million, six hundred one thousand, one hundred fifty-two".