127946733120 has 504 divisors, whose sum is σ = 464163421176. Its totient is φ = 32344621056.

The previous prime is 127946733119. The next prime is 127946733151. The reversal of 127946733120 is 21337649721.

127946733120 is a `hidden beast` number, since 1 + 279 + 4 + 67 + 3 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 127946428416 = 552^2 + 357696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 208721934 + ... + 208722546.

It is an arithmetic number, because the mean of its divisors is an integer number (920959169).

Almost surely, 2^127946733120 is an apocalyptic number.

127946733120 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 127946733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232081710588).

127946733120 is an abundant number, since it is smaller than the sum of its proper divisors (336216688056).

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

127946733120 is a wasteful number, since it uses less digits than its factorization.

127946733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 127946733120 in words is "one hundred twenty-seven billion, nine hundred forty-six million, seven hundred thirty-three thousand, one hundred twenty".