126009154656 has 1344 divisors, whose sum is σ = 499751078400. Its totient is φ = 30307737600.

The previous prime is 126009154639. The next prime is 126009154669. The reversal of 126009154656 is 656451900621.

126009154656 is a `hidden beast` number, since 12 + 6 + 0 + 0 + 91 + 546 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2135748355 + ... + 2135748413.

It is an arithmetic number, because the mean of its divisors is an integer number (371838600).

Almost surely, 2^126009154656 is an apocalyptic number.

126009154656 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 126009154656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249875539200).

126009154656 is an abundant number, since it is smaller than the sum of its proper divisors (373741923744).

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

126009154656 is a wasteful number, since it uses less digits than its factorization.

126009154656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 126009154656 in words is "one hundred twenty-six billion, nine million, one hundred fifty-four thousand, six hundred fifty-six".