127254120632736 has 96 divisors (see below), whose sum is σ = 353729385713088. Its totient is φ = 39918596321280.

The previous prime is 127254120632729. The next prime is 127254120632761. The reversal of 127254120632736 is 637236021452721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×127254120632736² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11133066 + ... + 19453878.

It is an arithmetic number, because the mean of its divisors is an integer number (3684681101178).

Almost surely, 2^{127254120632736} is an apocalyptic number.

127254120632736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127254120632736 is an abundant number, since it is smaller than the sum of its proper divisors (226475265080352).

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

127254120632736 is a wasteful number, since it uses less digits than its factorization.

127254120632736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330214 (or 8330206 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 127254120632736 in words is "one hundred twenty-seven trillion, two hundred fifty-four billion, one hundred twenty million, six hundred thirty-two thousand, seven hundred thirty-six".