126765081 has 27 divisors (see below), whose sum is σ = 191515701. Its totient is φ = 83902068.

The previous prime is 126765053. The next prime is 126765083. The reversal of 126765081 is 180567621.

The square root of 126765081 is 11259.

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

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 126765081 - 2⁵ = 126765049 is a prime.

It is a super-2 number, since 2×126765081² = 32138771521873122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126765083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 911910 + ... + 912048.

Almost surely, 2^126765081 is an apocalyptic number.

126765081 is the 11259-th square number.

126765081 is the 5630-th centered octagonal number.

It is an amenable number.

126765081 is a deficient number, since it is larger than the sum of its proper divisors (64750620).

126765081 is an frugal number, since it uses more digits than its factorization.

126765081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 126765081 is about 502.3424500513.

Multiplying 126765081 by its sum of digits (36), we get a square (4563542916 = 67554²).

The spelling of 126765081 in words is "one hundred twenty-six million, seven hundred sixty-five thousand, eighty-one".