128304146772 has 144 divisors (see below), whose sum is σ = 351354931200. Its totient is φ = 40862514528.

The previous prime is 128304146639. The next prime is 128304146783. The reversal of 128304146772 is 277641403821.

128304146772 is a `hidden beast` number, since 1 + 2 + 83 + 0 + 41 + 467 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23761729 + ... + 23767127.

It is an arithmetic number, because the mean of its divisors is an integer number (2439964800).

Almost surely, 2^128304146772 is an apocalyptic number.

128304146772 is a gapful number since it is divisible by the number (12) 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 128304146772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175677465600).

128304146772 is an abundant number, since it is smaller than the sum of its proper divisors (223050784428).

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

128304146772 is a wasteful number, since it uses less digits than its factorization.

128304146772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 128304146772 in words is "one hundred twenty-eight billion, three hundred four million, one hundred forty-six thousand, seven hundred seventy-two".