126345526146 has 96 divisors (see below), whose sum is σ = 330057936000. Its totient is φ = 34122332160.

The previous prime is 126345526129. The next prime is 126345526147. The reversal of 126345526146 is 641625543621.

126345526146 is a `hidden beast` number, since 1 + 2 + 6 + 34 + 552 + 61 + 4 + 6 = 666.

It is a super-2 number, since 2×126345526146² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126345526147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016136 + ... + 1133676.

It is an arithmetic number, because the mean of its divisors is an integer number (3438103500).

Almost surely, 2^126345526146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126345526146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165028968000).

126345526146 is an abundant number, since it is smaller than the sum of its proper divisors (203712409854).

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

126345526146 is a wasteful number, since it uses less digits than its factorization.

126345526146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118024 (or 118021 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 126345526146 in words is "one hundred twenty-six billion, three hundred forty-five million, five hundred twenty-six thousand, one hundred forty-six".