141062083115136 has 384 divisors, whose sum is σ = 399985496064000. Its totient is φ = 44038096896000.

The previous prime is 141062083115087. The next prime is 141062083115159. The reversal of 141062083115136 is 631511380260141.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×141062083115136² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48996901345 + ... + 48996904223.

It is an arithmetic number, because the mean of its divisors is an integer number (1041628896000).

Almost surely, 2^{141062083115136} is an apocalyptic number.

141062083115136 is a gapful number since it is divisible by the number (16) 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 141062083115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199992748032000).

141062083115136 is an abundant number, since it is smaller than the sum of its proper divisors (258923412948864).

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

141062083115136 is a wasteful number, since it uses less digits than its factorization.

141062083115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4911 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 141062083115136 in words is "one hundred forty-one trillion, sixty-two billion, eighty-three million, one hundred fifteen thousand, one hundred thirty-six".