114061500 has 384 divisors, whose sum is σ = 452874240. Its totient is φ = 24192000.

The previous prime is 114061487. The next prime is 114061513. The reversal of 114061500 is 5160411.

114061500 is a `hidden beast` number, since 11 + 40 + 615 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114061487) and next prime (114061513).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1606465 + ... + 1606535.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^114061500 is an apocalyptic number.

114061500 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 114061500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

114061500 is an abundant number, since it is smaller than the sum of its proper divisors (338812740).

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

114061500 is a wasteful number, since it uses less digits than its factorization.

114061500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114061500 is about 10679.9578650854. The cubic root of 114061500 is about 484.9679363789.

The spelling of 114061500 in words is "one hundred fourteen million, sixty-one thousand, five hundred".