140294880 has 288 divisors, whose sum is σ = 554063328. Its totient is φ = 31948800.

The previous prime is 140294873. The next prime is 140294893. The reversal of 140294880 is 88492041.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×140294880³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269020 + ... + 269540.

It is an arithmetic number, because the mean of its divisors is an integer number (1923831).

Almost surely, 2^140294880 is an apocalyptic number.

140294880 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 140294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277031664).

140294880 is an abundant number, since it is smaller than the sum of its proper divisors (413768448).

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

140294880 is a wasteful number, since it uses less digits than its factorization.

140294880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 140294880 is about 11844.6139658496. The cubic root of 140294880 is about 519.6137170649.

The spelling of 140294880 in words is "one hundred forty million, two hundred ninety-four thousand, eight hundred eighty".