126126672084 has 162 divisors, whose sum is σ = 373184783790. Its totient is φ = 35812893312.

The previous prime is 126126672083. The next prime is 126126672107. The reversal of 126126672084 is 480276621621.

126126672084 is a `hidden beast` number, since 1 + 2 + 612 + 6 + 6 + 7 + 20 + 8 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 55913331600 + 70213340484 = 236460^2 + 264978^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126126672083) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 52793562 + ... + 52795950.

Almost surely, 2^126126672084 is an apocalyptic number.

126126672084 is a gapful number since it is divisible by the number (14) 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 126126672084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186592391895).

126126672084 is an abundant number, since it is smaller than the sum of its proper divisors (247058111706).

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

126126672084 is a wasteful number, since it uses less digits than its factorization.

126126672084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 126126672084 in words is "one hundred twenty-six billion, one hundred twenty-six million, six hundred seventy-two thousand, eighty-four".