127334266752 has 768 divisors, whose sum is σ = 447170088960. Its totient is φ = 31386009600.

The previous prime is 127334266723. The next prime is 127334266771. The reversal of 127334266752 is 257662433721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 736036138 + ... + 736036310.

It is an arithmetic number, because the mean of its divisors is an integer number (582252720).

Almost surely, 2^127334266752 is an apocalyptic number.

127334266752 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 127334266752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223585044480).

127334266752 is an abundant number, since it is smaller than the sum of its proper divisors (319835822208).

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

127334266752 is a wasteful number, since it uses less digits than its factorization.

127334266752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 300 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 48.

The spelling of 127334266752 in words is "one hundred twenty-seven billion, three hundred thirty-four million, two hundred sixty-six thousand, seven hundred fifty-two".