126240745176 has 384 divisors, whose sum is σ = 437212339200. Its totient is φ = 32006016000.

The previous prime is 126240745133. The next prime is 126240745199. The reversal of 126240745176 is 671547042621.

126240745176 is a `hidden beast` number, since 1 + 2 + 62 + 4 + 0 + 74 + 517 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47690685 + ... + 47693331.

It is an arithmetic number, because the mean of its divisors is an integer number (1138573800).

Almost surely, 2^126240745176 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 126240745176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218606169600).

126240745176 is an abundant number, since it is smaller than the sum of its proper divisors (310971594024).

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

126240745176 is a wasteful number, since it uses less digits than its factorization.

126240745176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 126240745176 its reverse (671547042621), we get a palindrome (797787787797).

The spelling of 126240745176 in words is "one hundred twenty-six billion, two hundred forty million, seven hundred forty-five thousand, one hundred seventy-six".