141827134680 has 1728 divisors, whose sum is σ = 643732427520. Its totient is φ = 27925793280.

The previous prime is 141827134663. The next prime is 141827134739. The reversal of 141827134680 is 86431728141.

141827134680 is a `hidden beast` number, since 1 + 4 + 182 + 7 + 1 + 3 + 468 + 0 = 666.

It is a super-2 number, since 2×141827134680² (a number of 23 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 1325487187 + ... + 1325487293.

It is an arithmetic number, because the mean of its divisors is an integer number (372530340).

Almost surely, 2^141827134680 is an apocalyptic number.

141827134680 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 141827134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321866213760).

141827134680 is an abundant number, since it is smaller than the sum of its proper divisors (501905292840).

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

141827134680 is a wasteful number, since it uses less digits than its factorization.

141827134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 141827134680 in words is "one hundred forty-one billion, eight hundred twenty-seven million, one hundred thirty-four thousand, six hundred eighty".