147125328768 has 576 divisors, whose sum is σ = 503593796160. Its totient is φ = 41037004800.

The previous prime is 147125328737. The next prime is 147125328787. The reversal of 147125328768 is 867823521741.

147125328768 is a `hidden beast` number, since 1 + 47 + 1 + 2 + 532 + 8 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111373548 + ... + 111374868.

It is an arithmetic number, because the mean of its divisors is an integer number (874294785).

Almost surely, 2^147125328768 is an apocalyptic number.

147125328768 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 147125328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251796898080).

147125328768 is an abundant number, since it is smaller than the sum of its proper divisors (356468467392).

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

147125328768 is a wasteful number, since it uses less digits than its factorization.

147125328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1401 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 147125328768 in words is "one hundred forty-seven billion, one hundred twenty-five million, three hundred twenty-eight thousand, seven hundred sixty-eight".