141185790720 has 864 divisors, whose sum is σ = 566643893760. Its totient is φ = 33210777600.

The previous prime is 141185790703. The next prime is 141185790751. The reversal of 141185790720 is 27097581141.

It is a happy number.

141185790720 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 8 + 579 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134334195 + ... + 134335245.

It is an arithmetic number, because the mean of its divisors is an integer number (655837840).

Almost surely, 2^141185790720 is an apocalyptic number.

141185790720 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 141185790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283321946880).

141185790720 is an abundant number, since it is smaller than the sum of its proper divisors (425458103040).

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

141185790720 is a wasteful number, since it uses less digits than its factorization.

141185790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 141185790720 in words is "one hundred forty-one billion, one hundred eighty-five million, seven hundred ninety thousand, seven hundred twenty".