126504153216 has 1024 divisors, whose sum is σ = 466757222400. Its totient is φ = 32965263360.

The previous prime is 126504153203. The next prime is 126504153239. The reversal of 126504153216 is 612351405621.

126504153216 is a `hidden beast` number, since 1 + 26 + 5 + 0 + 415 + 3 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1304166480 + ... + 1304166576.

It is an arithmetic number, because the mean of its divisors is an integer number (455817600).

Almost surely, 2^126504153216 is an apocalyptic number.

126504153216 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 126504153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233378611200).

126504153216 is an abundant number, since it is smaller than the sum of its proper divisors (340253069184).

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

126504153216 is a wasteful number, since it uses less digits than its factorization.

126504153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 126504153216 its reverse (612351405621), we get a palindrome (738855558837).

The spelling of 126504153216 in words is "one hundred twenty-six billion, five hundred four million, one hundred fifty-three thousand, two hundred sixteen".