126517504 has 81 divisors (see below), whose sum is σ = 273930237. Its totient is φ = 58309632.

The previous prime is 126517493. The next prime is 126517543. The reversal of 126517504 is 405715621.

The square root of 126517504 is 11248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 113209600 + 13307904 = 10640^2 + 3648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3419374 + ... + 3419410.

Almost surely, 2^126517504 is an apocalyptic number.

126517504 is the 11248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126517504

126517504 is an abundant number, since it is smaller than the sum of its proper divisors (147412733).

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

126517504 is an frugal number, since it uses more digits than its factorization.

126517504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The cubic root of 126517504 is about 502.0152056473.

It can be divided in two parts, 1265 and 17504, that added together give a square (18769 = 137²).

The spelling of 126517504 in words is "one hundred twenty-six million, five hundred seventeen thousand, five hundred four".