126688738176 has 1152 divisors, whose sum is σ = 512027792640. Its totient is φ = 30277877760.

The previous prime is 126688738157. The next prime is 126688738181. The reversal of 126688738176 is 671837886621.

126688738176 is a `hidden beast` number, since 126 + 68 + 8 + 7 + 381 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 404756196 + ... + 404756508.

It is an arithmetic number, because the mean of its divisors is an integer number (444468570).

Almost surely, 2^126688738176 is an apocalyptic number.

126688738176 is a gapful number since it is divisible by the number (16) 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 126688738176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256013896320).

126688738176 is an abundant number, since it is smaller than the sum of its proper divisors (385339054464).

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

126688738176 is a wasteful number, since it uses less digits than its factorization.

126688738176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 349 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 126688738176 in words is "one hundred twenty-six billion, six hundred eighty-eight million, seven hundred thirty-eight thousand, one hundred seventy-six".