111729152 has 40 divisors (see below), whose sum is σ = 228038976. Its totient is φ = 54664192.

The previous prime is 111729131. The next prime is 111729157. The reversal of 111729152 is 251927111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111729157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21743 + ... + 26385.

Almost surely, 2^111729152 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 111729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114019488).

111729152 is an abundant number, since it is smaller than the sum of its proper divisors (116309824).

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

111729152 is an frugal number, since it uses more digits than its factorization.

111729152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4692 counting only the distinct ones).

The product of its digits is 1260, while the sum is 29.

The square root of 111729152 is about 10570.2011333749. The cubic root of 111729152 is about 481.6395783561.

The spelling of 111729152 in words is "one hundred eleven million, seven hundred twenty-nine thousand, one hundred fifty-two".