127137147735312 has 2560 divisors, whose sum is σ = 476249518080000. Its totient is φ = 31878223626240.

The previous prime is 127137147735293. The next prime is 127137147735337. The reversal of 127137147735312 is 213537741731721.

127137147735312 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 37 + 1 + 4 + 7 + 73 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 433915179838 + ... + 433915180130.

It is an arithmetic number, because the mean of its divisors is an integer number (186034968000).

Almost surely, 2^{127137147735312} is an apocalyptic number.

127137147735312 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 127137147735312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238124759040000).

127137147735312 is an abundant number, since it is smaller than the sum of its proper divisors (349112370344688).

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

127137147735312 is a wasteful number, since it uses less digits than its factorization.

127137147735312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 54.

The spelling of 127137147735312 in words is "one hundred twenty-seven trillion, one hundred thirty-seven billion, one hundred forty-seven million, seven hundred thirty-five thousand, three hundred twelve".