141314132145000 has 160 divisors (see below), whose sum is σ = 441816055480800. Its totient is φ = 37653832032000.

The previous prime is 141314132144953. The next prime is 141314132145019. The reversal of 141314132145000 is 541231413141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 39 ways as a sum of consecutive naturals, for example, 15143562 + ... + 22626438.

It is an arithmetic number, because the mean of its divisors is an integer number (2761350346755).

Almost surely, 2^{141314132145000} is an apocalyptic number.

141314132145000 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 141314132145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220908027740400).

141314132145000 is an abundant number, since it is smaller than the sum of its proper divisors (300501923335800).

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

141314132145000 is a wasteful number, since it uses less digits than its factorization.

141314132145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484165 (or 7484146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 141314132145000 its reverse (541231413141), we get a palindrome (141855363558141).

The spelling of 141314132145000 in words is "one hundred forty-one trillion, three hundred fourteen billion, one hundred thirty-two million, one hundred forty-five thousand".