114125632 has 112 divisors (see below), whose sum is σ = 253983744. Its totient is φ = 50688000.

The previous prime is 114125611. The next prime is 114125653. The reversal of 114125632 is 236521411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114125611) and next prime (114125653).

It is a super-3 number, since 3×114125632³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114125597 and 114125606.

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 15 ways as a sum of consecutive naturals, for example, 1870882 + ... + 1870942.

It is an arithmetic number, because the mean of its divisors is an integer number (2267712).

Almost surely, 2^114125632 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 114125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126991872).

114125632 is an abundant number, since it is smaller than the sum of its proper divisors (139858112).

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

114125632 is a wasteful number, since it uses less digits than its factorization.

114125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 114125632 is about 10682.9598894688. The cubic root of 114125632 is about 485.0588117295.

The spelling of 114125632 in words is "one hundred fourteen million, one hundred twenty-five thousand, six hundred thirty-two".