140006016 has 128 divisors (see below), whose sum is σ = 437702400. Its totient is φ = 43905024.

The previous prime is 140005993. The next prime is 140006023. The reversal of 140006016 is 610600041.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 140006016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57561 + ... + 59943.

It is an arithmetic number, because the mean of its divisors is an integer number (3419550).

Almost surely, 2^140006016 is an apocalyptic number.

140006016 is a gapful number since it is divisible by the number (16) 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 140006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218851200).

140006016 is an abundant number, since it is smaller than the sum of its proper divisors (297696384).

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

140006016 is a wasteful number, since it uses less digits than its factorization.

140006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 140006016 is about 11832.4137858680. The cubic root of 140006016 is about 519.2568477082.

Adding to 140006016 its reverse (610600041), we get a palindrome (750606057).

The spelling of 140006016 in words is "one hundred forty million, six thousand, sixteen".