114064125 has 64 divisors (see below), whose sum is σ = 228433920. Its totient is φ = 49377600.

The previous prime is 114064123. The next prime is 114064151. The reversal of 114064125 is 521460411.

It is a happy number.

It is not a de Polignac number, because 114064125 - 2¹ = 114064123 is a prime.

It is a super-2 number, since 2×114064125² = 26021249224031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114064095 and 114064104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114064123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48732 + ... + 51018.

It is an arithmetic number, because the mean of its divisors is an integer number (3569280).

Almost surely, 2^114064125 is an apocalyptic number.

114064125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114064125 is an abundant number, since it is smaller than the sum of its proper divisors (114369795).

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

114064125 is a wasteful number, since it uses less digits than its factorization.

114064125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 114064125 is about 10680.0807581216. The cubic root of 114064125 is about 484.9716566850.

It can be divided in two parts, 1140 and 64125, that multiplied together give a square (73102500 = 8550²).

The spelling of 114064125 in words is "one hundred fourteen million, sixty-four thousand, one hundred twenty-five".