126187362945 has 384 divisors, whose sum is σ = 286820352000. Its totient is φ = 52280847360.

The previous prime is 126187362937. The next prime is 126187362989. The reversal of 126187362945 is 549263781621.

It is a happy number.

126187362945 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 8 + 7 + 3 + 629 + 4 + 5 = 666.

It is not a de Polignac number, because 126187362945 - 2³ = 126187362937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126187362891 and 126187362900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 541576549 + ... + 541576781.

It is an arithmetic number, because the mean of its divisors is an integer number (746928000).

Almost surely, 2^126187362945 is an apocalyptic number.

126187362945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126187362945 is an abundant number, since it is smaller than the sum of its proper divisors (160632989055).

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

126187362945 is a wasteful number, since it uses less digits than its factorization.

126187362945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 126187362945 in words is "one hundred twenty-six billion, one hundred eighty-seven million, three hundred sixty-two thousand, nine hundred forty-five".