126190320525 has 72 divisors (see below), whose sum is σ = 241980137280. Its totient is φ = 64352772000.

The previous prime is 126190320521. The next prime is 126190320533. The reversal of 126190320525 is 525023091621.

It is a happy number.

126190320525 is a `hidden beast` number, since 1 + 2 + 619 + 0 + 32 + 0 + 5 + 2 + 5 = 666.

It is not a de Polignac number, because 126190320525 - 2² = 126190320521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 126190320525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126190320521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44260350 + ... + 44263200.

It is an arithmetic number, because the mean of its divisors is an integer number (3360835240).

Almost surely, 2^126190320525 is an apocalyptic number.

126190320525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126190320525 is a deficient number, since it is larger than the sum of its proper divisors (115789816755).

126190320525 is an frugal number, since it uses more digits than its factorization.

126190320525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 126190320525 in words is "one hundred twenty-six billion, one hundred ninety million, three hundred twenty thousand, five hundred twenty-five".