140509728 has 120 divisors (see below), whose sum is σ = 417130560. Its totient is φ = 46396800.

The previous prime is 140509717. The next prime is 140509751. The reversal of 140509728 is 827905041.

140509728 is a `hidden beast` number, since 140 + 509 + 7 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 140509692 and 140509701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 391213 + ... + 391571.

It is an arithmetic number, because the mean of its divisors is an integer number (3476088).

Almost surely, 2^140509728 is an apocalyptic number.

140509728 is a gapful number since it is divisible by the number (18) 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 140509728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

140509728 is an abundant number, since it is smaller than the sum of its proper divisors (276620832).

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

140509728 is a wasteful number, since it uses less digits than its factorization.

140509728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 140509728 is about 11853.6799349400. The cubic root of 140509728 is about 519.8788277820.

The spelling of 140509728 in words is "one hundred forty million, five hundred nine thousand, seven hundred twenty-eight".