127349961083136 has 1215 divisors, whose sum is σ = 424641235905705. Its totient is φ = 36704054661120.

The previous prime is 127349961083063. The next prime is 127349961083143. The reversal of 127349961083136 is 631380169943721.

It is a happy number.

The square root of 127349961083136 is 11284944.

It is a perfect power (a square), and thus also a powerful number.

127349961083136 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 4 + 9 + 9 + 610 + 8 + 3 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66779230484736 + 60570730598400 = 8171856^2 + 7782720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1900745687775 + ... + 1900745687841.

Almost surely, 2^{127349961083136} is an apocalyptic number.

127349961083136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127349961083136 is the 11284944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127349961083136

127349961083136 is an abundant number, since it is smaller than the sum of its proper divisors (297291274822569).

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

127349961083136 is an frugal number, since it uses more digits than its factorization.

127349961083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 127349961083136 in words is "one hundred twenty-seven trillion, three hundred forty-nine billion, nine hundred sixty-one million, eighty-three thousand, one hundred thirty-six".