147668600127360 has 512 divisors, whose sum is σ = 512866082332800. Its totient is φ = 35921867046912.

The previous prime is 147668600127341. The next prime is 147668600127437. The reversal of 147668600127360 is 63721006866741.

147668600127360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×147668600127360³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147668600127360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4480628002 + ... + 4480660958.

Almost surely, 2^{147668600127360} is an apocalyptic number.

147668600127360 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 147668600127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256433041166400).

147668600127360 is an abundant number, since it is smaller than the sum of its proper divisors (365197482205440).

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

147668600127360 is a wasteful number, since it uses less digits than its factorization.

147668600127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35098 (or 35086 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 147668600127360 in words is "one hundred forty-seven trillion, six hundred sixty-eight billion, six hundred million, one hundred twenty-seven thousand, three hundred sixty".