141306480 has 360 divisors, whose sum is σ = 577650528. Its totient is φ = 30311424.

The previous prime is 141306479. The next prime is 141306509. The reversal of 141306480 is 84603141.

141306480 is a `hidden beast` number, since 1 + 4 + 13 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2666134 + ... + 2666186.

Almost surely, 2^141306480 is an apocalyptic number.

141306480 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 141306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288825264).

141306480 is an abundant number, since it is smaller than the sum of its proper divisors (436344048).

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

141306480 is a wasteful number, since it uses less digits than its factorization.

141306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141306480 is about 11887.2402179816. The cubic root of 141306480 is about 520.8596235191.

The spelling of 141306480 in words is "one hundred forty-one million, three hundred six thousand, four hundred eighty".