126187374096 has 400 divisors, whose sum is σ = 424229097600. Its totient is φ = 35468015616.

The previous prime is 126187374077. The next prime is 126187374113. The reversal of 126187374096 is 690473781621.

126187374096 is a `hidden beast` number, since 1 + 2 + 6 + 187 + 374 + 0 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301162975 + ... + 301163393.

It is an arithmetic number, because the mean of its divisors is an integer number (1060572744).

Almost surely, 2^126187374096 is an apocalyptic number.

126187374096 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 126187374096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212114548800).

126187374096 is an abundant number, since it is smaller than the sum of its proper divisors (298041723504).

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

126187374096 is a wasteful number, since it uses less digits than its factorization.

126187374096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 126187374096 in words is "one hundred twenty-six billion, one hundred eighty-seven million, three hundred seventy-four thousand, ninety-six".