126003146761 has 8 divisors (see below), whose sum is σ = 130742750600. Its totient is φ = 121333759488.

The previous prime is 126003146723. The next prime is 126003146767. The reversal of 126003146761 is 167641300621.

It can be written as a sum of positive squares in 4 ways, for example, as 71219063161 + 54784083600 = 266869^2 + 234060^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126003146761 is a prime.

It is a super-2 number, since 2×126003146761² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126003146761.

It is not an unprimeable number, because it can be changed into a prime (126003146767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17550486 + ... + 17557663.

It is an arithmetic number, because the mean of its divisors is an integer number (16342843825).

Almost surely, 2^126003146761 is an apocalyptic number.

It is an amenable number.

126003146761 is a deficient number, since it is larger than the sum of its proper divisors (4739603839).

126003146761 is an equidigital number, since it uses as much as digits as its factorization.

126003146761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35108283.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 126003146761 in words is "one hundred twenty-six billion, three million, one hundred forty-six thousand, seven hundred sixty-one".