114132525 has 96 divisors (see below), whose sum is σ = 219569280. Its totient is φ = 51840000.

The previous prime is 114132523. The next prime is 114132527. The reversal of 114132525 is 525231411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114132523) and next prime (114132527).

It is not a de Polignac number, because 114132525 - 2¹ = 114132523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114132495 and 114132504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114132521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1129975 + ... + 1130075.

It is an arithmetic number, because the mean of its divisors is an integer number (2287180).

Almost surely, 2^114132525 is an apocalyptic number.

114132525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114132525 is a deficient number, since it is larger than the sum of its proper divisors (105436755).

114132525 is a wasteful number, since it uses less digits than its factorization.

114132525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 114132525 is about 10683.2825011791. The cubic root of 114132525 is about 485.0685771170.

Adding to 114132525 its reverse (525231411), we get a palindrome (639363936).

The spelling of 114132525 in words is "one hundred fourteen million, one hundred thirty-two thousand, five hundred twenty-five".