141720480 has 288 divisors, whose sum is σ = 551940480. Its totient is φ = 32778240.

The previous prime is 141720461. The next prime is 141720493. The reversal of 141720480 is 84027141.

141720480 is a `hidden beast` number, since 14 + 172 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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, 364126 + ... + 364514.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^141720480 is an apocalyptic number.

141720480 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 141720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275970240).

141720480 is an abundant number, since it is smaller than the sum of its proper divisors (410220000).

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

141720480 is a wasteful number, since it uses less digits than its factorization.

141720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 141720480 is about 11904.6411117681. The cubic root of 141720480 is about 521.3677994030.

The spelling of 141720480 in words is "one hundred forty-one million, seven hundred twenty thousand, four hundred eighty".