126632150281728 has 1280 divisors, whose sum is σ = 471875078062080. Its totient is φ = 32637136896000.

The previous prime is 126632150281709. The next prime is 126632150281787. The reversal of 126632150281728 is 827182051236621.

It is a happy number.

126632150281728 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 32 + 1 + 502 + 81 + 7 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53863099753 + ... + 53863102103.

It is an arithmetic number, because the mean of its divisors is an integer number (368652404736).

Almost surely, 2^{126632150281728} is an apocalyptic number.

126632150281728 is a gapful number since it is divisible by the number (18) 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 126632150281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235937539031040).

126632150281728 is an abundant number, since it is smaller than the sum of its proper divisors (345242927780352).

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

126632150281728 is a wasteful number, since it uses less digits than its factorization.

126632150281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 126632150281728 in words is "one hundred twenty-six trillion, six hundred thirty-two billion, one hundred fifty million, two hundred eighty-one thousand, seven hundred twenty-eight".