126130641516 has 108 divisors (see below), whose sum is σ = 351849024072. Its totient is φ = 38068800000.

The previous prime is 126130641499. The next prime is 126130641557. The reversal of 126130641516 is 615146031621.

126130641516 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 0 + 641 + 5 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1035676 + ... + 1151036.

It is an arithmetic number, because the mean of its divisors is an integer number (3257861334).

Almost surely, 2^126130641516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126130641516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175924512036).

126130641516 is an abundant number, since it is smaller than the sum of its proper divisors (225718382556).

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

126130641516 is a wasteful number, since it uses less digits than its factorization.

126130641516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115644 (or 115628 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 126130641516 in words is "one hundred twenty-six billion, one hundred thirty million, six hundred forty-one thousand, five hundred sixteen".