114129792 has 96 divisors (see below), whose sum is σ = 375364080. Its totient is φ = 32606208.

The previous prime is 114129791. The next prime is 114129803. The reversal of 114129792 is 297921411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114129791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988 + ... + 15140.

Almost surely, 2^114129792 is an apocalyptic number.

114129792 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 114129792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187682040).

114129792 is an abundant number, since it is smaller than the sum of its proper divisors (261234288).

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

114129792 is a wasteful number, since it uses less digits than its factorization.

114129792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14180 (or 14165 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 114129792 is about 10683.1545902884. The cubic root of 114129792 is about 485.0647052935.

It can be divided in two parts, 114129 and 792, that added together give a square (114921 = 339²).

The spelling of 114129792 in words is "one hundred fourteen million, one hundred twenty-nine thousand, seven hundred ninety-two".