126752560 has 40 divisors (see below), whose sum is σ = 321492816. Its totient is φ = 46091520.

The previous prime is 126752539. The next prime is 126752567. The reversal of 126752560 is 65257621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×126752560² = 32132422933107200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (126752567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71139 + ... + 72898.

Almost surely, 2^126752560 is an apocalyptic number.

126752560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126752560 is an abundant number, since it is smaller than the sum of its proper divisors (194740256).

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

126752560 is a wasteful number, since it uses less digits than its factorization.

126752560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144061 (or 144055 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 126752560 is about 11258.4439422151. The cubic root of 126752560 is about 502.3259101733.

The spelling of 126752560 in words is "one hundred twenty-six million, seven hundred fifty-two thousand, five hundred sixty".