141288960 has 80 divisors (see below), whose sum is σ = 451707696. Its totient is φ = 37675008.

The previous prime is 141288949. The next prime is 141288967. The reversal of 141288960 is 69882141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141288967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1519 + ... + 16878.

Almost surely, 2^141288960 is an apocalyptic number.

141288960 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 141288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225853848).

141288960 is an abundant number, since it is smaller than the sum of its proper divisors (310418736).

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

141288960 is an equidigital number, since it uses as much as digits as its factorization.

141288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18423 (or 18407 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 141288960 is about 11886.5032705165. The cubic root of 141288960 is about 520.8380962267.

The spelling of 141288960 in words is "one hundred forty-one million, two hundred eighty-eight thousand, nine hundred sixty".