127146138812 has 192 divisors, whose sum is σ = 301644435456. Its totient is φ = 45378109440.

The previous prime is 127146138787. The next prime is 127146138827. The reversal of 127146138812 is 218831641721.

It is a super-2 number, since 2×127146138812² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 63 ways as a sum of consecutive naturals, for example, 47494418 + ... + 47497094.

It is an arithmetic number, because the mean of its divisors is an integer number (1571064768).

Almost surely, 2^127146138812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127146138812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822217728).

127146138812 is an abundant number, since it is smaller than the sum of its proper divisors (174498296644).

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

127146138812 is a wasteful number, since it uses less digits than its factorization.

127146138812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2954 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The spelling of 127146138812 in words is "one hundred twenty-seven billion, one hundred forty-six million, one hundred thirty-eight thousand, eight hundred twelve".