126871138944 has 128 divisors (see below), whose sum is σ = 408486744000. Its totient is φ = 38445788160.

The previous prime is 126871138931. The next prime is 126871138951. The reversal of 126871138944 is 449831178621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×126871138944³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 1630639 + ... + 1706670.

Almost surely, 2^126871138944 is an apocalyptic number.

It is an amenable number.

126871138944 is an abundant number, since it is smaller than the sum of its proper divisors (281615605056).

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

126871138944 is a wasteful number, since it uses less digits than its factorization.

126871138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337343 (or 3337325 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 126871138944 in words is "one hundred twenty-six billion, eight hundred seventy-one million, one hundred thirty-eight thousand, nine hundred forty-four".