141288560 has 160 divisors (see below), whose sum is σ = 404736000. Its totient is φ = 45722880.

The previous prime is 141288527. The next prime is 141288569. The reversal of 141288560 is 65882141.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 141288560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141288569) 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 31 ways as a sum of consecutive naturals, for example, 521225 + ... + 521495.

It is an arithmetic number, because the mean of its divisors is an integer number (2529600).

Almost surely, 2^141288560 is an apocalyptic number.

141288560 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 141288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368000).

141288560 is an abundant number, since it is smaller than the sum of its proper divisors (263447440).

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

141288560 is a wasteful number, since it uses less digits than its factorization.

141288560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 141288560 is about 11886.4864446985. The cubic root of 141288560 is about 520.8376047152.

The spelling of 141288560 in words is "one hundred forty-one million, two hundred eighty-eight thousand, five hundred sixty".