220129140 has 384 divisors, whose sum is σ = 836075520. Its totient is φ = 41932800.

The previous prime is 220129139. The next prime is 220129163. The reversal of 220129140 is 41921022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4153354 + ... + 4153406.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^220129140 is an apocalyptic number.

220129140 is a gapful number since it is divisible by the number (20) 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 220129140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418037760).

220129140 is an abundant number, since it is smaller than the sum of its proper divisors (615946380).

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

220129140 is a wasteful number, since it uses less digits than its factorization.

220129140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 220129140 is about 14836.7496440427. The cubic root of 220129140 is about 603.7991708385.

The spelling of 220129140 in words is "two hundred twenty million, one hundred twenty-nine thousand, one hundred forty".