126442376820 has 36 divisors (see below), whose sum is σ = 383541876900. Its totient is φ = 33717967104.

The previous prime is 126442376783. The next prime is 126442376867. The reversal of 126442376820 is 28673244621.

It is a happy number.

126442376820 is a `hidden beast` number, since 126 + 442 + 3 + 7 + 6 + 82 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46650816144 + 79791560676 = 215988^2 + 282474^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 351228645 + ... + 351229004.

It is an arithmetic number, because the mean of its divisors is an integer number (10653941025).

Almost surely, 2^126442376820 is an apocalyptic number.

126442376820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126442376820 is an abundant number, since it is smaller than the sum of its proper divisors (257099500080).

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

126442376820 is a wasteful number, since it uses less digits than its factorization.

126442376820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702457664 (or 702457659 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 126442376820 in words is "one hundred twenty-six billion, four hundred forty-two million, three hundred seventy-six thousand, eight hundred twenty".