127308521340 has 1512 divisors, whose sum is σ = 554183842464. Its totient is φ = 24018508800.

The previous prime is 127308521317. The next prime is 127308521359. The reversal of 127308521340 is 43125803721.

127308521340 is a `hidden beast` number, since 1 + 2 + 7 + 308 + 5 + 2 + 1 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 127308521295 and 127308521304.

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 503 ways as a sum of consecutive naturals, for example, 2087024910 + ... + 2087024970.

Almost surely, 2^127308521340 is an apocalyptic number.

127308521340 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 127308521340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277091921232).

127308521340 is an abundant number, since it is smaller than the sum of its proper divisors (426875321124).

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

127308521340 is a wasteful number, since it uses less digits than its factorization.

127308521340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 127308521340 in words is "one hundred twenty-seven billion, three hundred eight million, five hundred twenty-one thousand, three hundred forty".