126500013765 has 40 divisors (see below), whose sum is σ = 228843461880. Its totient is φ = 66847690368.

The previous prime is 126500013713. The next prime is 126500013791. The reversal of 126500013765 is 567310005621.

126500013765 is a `hidden beast` number, since 12 + 6 + 500 + 0 + 137 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29047407489 + 97452606276 = 170433^2 + 312174^2 .

It is not a de Polignac number, because 126500013765 - 2⁸ = 126500013509 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1388634 + ... + 1476923.

It is an arithmetic number, because the mean of its divisors is an integer number (5721086547).

Almost surely, 2^126500013765 is an apocalyptic number.

126500013765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126500013765 is a deficient number, since it is larger than the sum of its proper divisors (102343448115).

126500013765 is a wasteful number, since it uses less digits than its factorization.

126500013765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865683 (or 2865674 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 126500013765 in words is "one hundred twenty-six billion, five hundred million, thirteen thousand, seven hundred sixty-five".