127460136960 has 576 divisors, whose sum is σ = 479084336640. Its totient is φ = 31154503680.

The previous prime is 127460136949. The next prime is 127460137003. The reversal of 127460136960 is 69631064721.

127460136960 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 601 + 36 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228833002 + ... + 228833558.

It is an arithmetic number, because the mean of its divisors is an integer number (831743640).

Almost surely, 2^127460136960 is an apocalyptic number.

127460136960 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 127460136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239542168320).

127460136960 is an abundant number, since it is smaller than the sum of its proper divisors (351624199680).

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

127460136960 is a wasteful number, since it uses less digits than its factorization.

127460136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 127460136960 in words is "one hundred twenty-seven billion, four hundred sixty million, one hundred thirty-six thousand, nine hundred sixty".