126525105696 has 192 divisors, whose sum is σ = 378463518720. Its totient is φ = 36636272640.

The previous prime is 126525105677. The next prime is 126525105737. The reversal of 126525105696 is 696501525621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31062316 + ... + 31066388.

It is an arithmetic number, because the mean of its divisors is an integer number (1971164160).

Almost surely, 2^126525105696 is an apocalyptic number.

126525105696 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 126525105696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189231759360).

126525105696 is an abundant number, since it is smaller than the sum of its proper divisors (251938413024).

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

126525105696 is a wasteful number, since it uses less digits than its factorization.

126525105696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

It can be divided in two parts, 126525 and 105696, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 126525105696 in words is "one hundred twenty-six billion, five hundred twenty-five million, one hundred five thousand, six hundred ninety-six".