114924192 has 144 divisors (see below), whose sum is σ = 329995008. Its totient is φ = 34974720.

The previous prime is 114924181. The next prime is 114924197. The reversal of 114924192 is 291429411.

It is not an unprimeable number, because it can be changed into a prime (114924197) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1574268 + ... + 1574340.

It is an arithmetic number, because the mean of its divisors is an integer number (2291632).

Almost surely, 2^114924192 is an apocalyptic number.

114924192 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 114924192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164997504).

114924192 is an abundant number, since it is smaller than the sum of its proper divisors (215070816).

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

114924192 is a wasteful number, since it uses less digits than its factorization.

114924192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 114924192 is about 10720.2701458499. The cubic root of 114924192 is about 486.1875345288.

The spelling of 114924192 in words is "one hundred fourteen million, nine hundred twenty-four thousand, one hundred ninety-two".