141514560 has 224 divisors, whose sum is σ = 544982400. Its totient is φ = 34283520.

The previous prime is 141514559. The next prime is 141514567. The reversal of 141514560 is 65415141.

141514560 is a `hidden beast` number, since 141 + 514 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141514567) 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, 94296 + ... + 95784.

Almost surely, 2^141514560 is an apocalyptic number.

141514560 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 141514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272491200).

141514560 is an abundant number, since it is smaller than the sum of its proper divisors (403467840).

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

141514560 is a wasteful number, since it uses less digits than its factorization.

141514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 141514560 is about 11895.9892400758. The cubic root of 141514560 is about 521.1151610232.

The spelling of 141514560 in words is "one hundred forty-one million, five hundred fourteen thousand, five hundred sixty".