114654540 has 384 divisors, whose sum is σ = 455196672. Its totient is φ = 20782080.

The previous prime is 114654509. The next prime is 114654581. The reversal of 114654540 is 45456411.

It is a super-2 number, since 2×114654540² = 26291327085223200, which contains 22 as substring.

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 = 114654498 and 114654507.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1381339 + ... + 1381421.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408).

Almost surely, 2^114654540 is an apocalyptic number.

114654540 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 114654540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227598336).

114654540 is an abundant number, since it is smaller than the sum of its proper divisors (340542132).

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

114654540 is a wasteful number, since it uses less digits than its factorization.

114654540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 114654540 is about 10707.6860245340. The cubic root of 114654540 is about 485.8069818963.

The spelling of 114654540 in words is "one hundred fourteen million, six hundred fifty-four thousand, five hundred forty".