126051016 has 96 divisors (see below), whose sum is σ = 308318400. Its totient is φ = 47174400.

The previous prime is 126051007. The next prime is 126051031. The reversal of 126051016 is 610150621.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179466 + ... + 180166.

It is an arithmetic number, because the mean of its divisors is an integer number (3211650).

Almost surely, 2^126051016 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 126051016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154159200).

126051016 is an abundant number, since it is smaller than the sum of its proper divisors (182267384).

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

126051016 is a wasteful number, since it uses less digits than its factorization.

126051016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 126051016 is about 11227.2443636005. The cubic root of 126051016 is about 501.3974453211.

The spelling of 126051016 in words is "one hundred twenty-six million, fifty-one thousand, sixteen".