141987105792 has 880 divisors, whose sum is σ = 520895668480. Its totient is φ = 37623398400.

The previous prime is 141987105769. The next prime is 141987105803. The reversal of 141987105792 is 297501789141.

141987105792 is a `hidden beast` number, since 1 + 419 + 87 + 10 + 57 + 92 = 666.

It is a super-2 number, since 2×141987105792² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 672924567 + ... + 672924777.

It is an arithmetic number, because the mean of its divisors is an integer number (591926896).

Almost surely, 2^141987105792 is an apocalyptic number.

141987105792 is a gapful number since it is divisible by the number (12) 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 141987105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260447834240).

141987105792 is an abundant number, since it is smaller than the sum of its proper divisors (378908562688).

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

141987105792 is a wasteful number, since it uses less digits than its factorization.

141987105792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 141987105792 in words is "one hundred forty-one billion, nine hundred eighty-seven million, one hundred five thousand, seven hundred ninety-two".