126456516 has 72 divisors (see below), whose sum is σ = 328333824. Its totient is φ = 41021760.

The previous prime is 126456511. The next prime is 126456563. The reversal of 126456516 is 615654621.

126456516 is a `hidden beast` number, since 1 + 2 + 645 + 6 + 5 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (126456511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364255 + ... + 364601.

It is an arithmetic number, because the mean of its divisors is an integer number (4560192).

Almost surely, 2^126456516 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 126456516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164166912).

126456516 is an abundant number, since it is smaller than the sum of its proper divisors (201877308).

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

126456516 is a wasteful number, since it uses less digits than its factorization.

126456516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 596 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 126456516 is about 11245.2886134594. The cubic root of 126456516 is about 501.9345268917.

The spelling of 126456516 in words is "one hundred twenty-six million, four hundred fifty-six thousand, five hundred sixteen".