127137650640 has 640 divisors, whose sum is σ = 543517212672. Its totient is φ = 23725301760.

The previous prime is 127137650639. The next prime is 127137650663. The reversal of 127137650640 is 46056731721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 127137650592 and 127137650601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8881729 + ... + 8896031.

Almost surely, 2^127137650640 is an apocalyptic number.

127137650640 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 127137650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271758606336).

127137650640 is an abundant number, since it is smaller than the sum of its proper divisors (416379562032).

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

127137650640 is a wasteful number, since it uses less digits than its factorization.

127137650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14387 (or 14381 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

It can be divided in two parts, 127137 and 650640, that added together give a palindrome (777777).

The spelling of 127137650640 in words is "one hundred twenty-seven billion, one hundred thirty-seven million, six hundred fifty thousand, six hundred forty".