140129280 has 132 divisors (see below), whose sum is σ = 485703972. Its totient is φ = 37355520.

The previous prime is 140129243. The next prime is 140129281. The reversal of 140129280 is 82921041.

It can be written as a sum of positive squares in 2 ways, for example, as 103550976 + 36578304 = 10176^2 + 6048^2 .

It is a super-2 number, since 2×140129280² = 39272430226636800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140129281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44560 + ... + 47600.

Almost surely, 2^140129280 is an apocalyptic number.

140129280 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 140129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242851986).

140129280 is an abundant number, since it is smaller than the sum of its proper divisors (345574692).

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

140129280 is a wasteful number, since it uses less digits than its factorization.

140129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 140129280 is about 11837.6213826934. The cubic root of 140129280 is about 519.4091909269.

The spelling of 140129280 in words is "one hundred forty million, one hundred twenty-nine thousand, two hundred eighty".