141289920 has 336 divisors, whose sum is σ = 532546560. Its totient is φ = 35582976.

The previous prime is 141289879. The next prime is 141289921. The reversal of 141289920 is 29982141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141289921) by changing a digit.

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, 1788441 + ... + 1788519.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2^141289920 is an apocalyptic number.

141289920 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 141289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273280).

141289920 is an abundant number, since it is smaller than the sum of its proper divisors (391256640).

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

141289920 is an equidigital number, since it uses as much as digits as its factorization.

141289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 141289920 is about 11886.5436523827. The cubic root of 141289920 is about 520.8392758504.

The spelling of 141289920 in words is "one hundred forty-one million, two hundred eighty-nine thousand, nine hundred twenty".