126341547552 has 864 divisors, whose sum is σ = 442677493440. Its totient is φ = 35097753600.

The previous prime is 126341547547. The next prime is 126341547559. The reversal of 126341547552 is 255745143621.

126341547552 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 41 + 54 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

Its product of digits (1008000) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 126341547498 and 126341547507.

It is not an unprimeable number, because it can be changed into a prime (126341547559) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2383802758 + ... + 2383802810.

It is an arithmetic number, because the mean of its divisors is an integer number (512358210).

Almost surely, 2^126341547552 is an apocalyptic number.

126341547552 is a gapful number since it is divisible by the number (12) 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 126341547552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221338746720).

126341547552 is an abundant number, since it is smaller than the sum of its proper divisors (316335945888).

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

126341547552 is a wasteful number, since it uses less digits than its factorization.

126341547552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 129 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 126341547552 in words is "one hundred twenty-six billion, three hundred forty-one million, five hundred forty-seven thousand, five hundred fifty-two".