126337125285 has 192 divisors, whose sum is σ = 271132572672. Its totient is φ = 53105614848.

The previous prime is 126337125269. The next prime is 126337125307. The reversal of 126337125285 is 582521733621.

126337125285 is a `hidden beast` number, since 1 + 2 + 633 + 7 + 1 + 2 + 5 + 2 + 8 + 5 = 666.

It is not a de Polignac number, because 126337125285 - 2⁴ = 126337125269 is a prime.

It is a super-2 number, since 2×126337125285² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126337125285.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78615952 + ... + 78617558.

It is an arithmetic number, because the mean of its divisors is an integer number (1412148816).

Almost surely, 2^126337125285 is an apocalyptic number.

126337125285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126337125285 is an abundant number, since it is smaller than the sum of its proper divisors (144795447387).

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

126337125285 is a wasteful number, since it uses less digits than its factorization.

126337125285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1969 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 126337125285 in words is "one hundred twenty-six billion, three hundred thirty-seven million, one hundred twenty-five thousand, two hundred eighty-five".