141151465728 has 1440 divisors, whose sum is σ = 567301898240. Its totient is φ = 33861058560.

The previous prime is 141151465711. The next prime is 141151465771. The reversal of 141151465728 is 827564151141.

It is a happy number.

141151465728 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 514 + 65 + 72 + 8 = 666.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1111428801 + ... + 1111428927.

Almost surely, 2^141151465728 is an apocalyptic number.

141151465728 is a gapful number since it is divisible by the number (18) 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 141151465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283650949120).

141151465728 is an abundant number, since it is smaller than the sum of its proper divisors (426150432512).

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

141151465728 is a wasteful number, since it uses less digits than its factorization.

141151465728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 141151465728 in words is "one hundred forty-one billion, one hundred fifty-one million, four hundred sixty-five thousand, seven hundred twenty-eight".