141542382960 has 960 divisors, whose sum is σ = 557139340800. Its totient is φ = 32985722880.

The previous prime is 141542382953. The next prime is 141542383001. The reversal of 141542382960 is 69283245141.

141542382960 is a `hidden beast` number, since 1 + 41 + 542 + 3 + 8 + 2 + 9 + 60 = 666.

141542382960 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1033156012 + ... + 1033156148.

It is an arithmetic number, because the mean of its divisors is an integer number (580353480).

Almost surely, 2^141542382960 is an apocalyptic number.

141542382960 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 141542382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278569670400).

141542382960 is an abundant number, since it is smaller than the sum of its proper divisors (415596957840).

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

141542382960 is a wasteful number, since it uses less digits than its factorization.

141542382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 141542382960 in words is "one hundred forty-one billion, five hundred forty-two million, three hundred eighty-two thousand, nine hundred sixty".