126312156516 has 768 divisors, whose sum is σ = 415276646400. Its totient is φ = 28970016768.

The previous prime is 126312156497. The next prime is 126312156517. The reversal of 126312156516 is 615651213621.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (126312156517) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1158827070 + ... + 1158827178.

It is an arithmetic number, because the mean of its divisors is an integer number (540724800).

Almost surely, 2^126312156516 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 126312156516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207638323200).

126312156516 is an abundant number, since it is smaller than the sum of its proper divisors (288964489884).

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

126312156516 is a wasteful number, since it uses less digits than its factorization.

126312156516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The spelling of 126312156516 in words is "one hundred twenty-six billion, three hundred twelve million, one hundred fifty-six thousand, five hundred sixteen".