114276540 has 192 divisors, whose sum is σ = 386039808. Its totient is φ = 24710400.

The previous prime is 114276527. The next prime is 114276541. The reversal of 114276540 is 45672411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114276498 and 114276507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114276541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872275 + ... + 872405.

It is an arithmetic number, because the mean of its divisors is an integer number (2010624).

Almost surely, 2^114276540 is an apocalyptic number.

114276540 is a gapful number since it is divisible by the number (10) 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 114276540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193019904).

114276540 is an abundant number, since it is smaller than the sum of its proper divisors (271763268).

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

114276540 is a wasteful number, since it uses less digits than its factorization.

114276540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 114276540 is about 10690.0205799615. The cubic root of 114276540 is about 485.2725148618.

The spelling of 114276540 in words is "one hundred fourteen million, two hundred seventy-six thousand, five hundred forty".