126918528 has 64 divisors (see below), whose sum is σ = 367787520. Its totient is φ = 38458880.

The previous prime is 126918503. The next prime is 126918541. The reversal of 126918528 is 825819621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×126918528³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 126918528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10800 + ... + 19247.

It is an arithmetic number, because the mean of its divisors is an integer number (5746680).

Almost surely, 2^126918528 is an apocalyptic number.

It is an amenable number.

126918528 is an abundant number, since it is smaller than the sum of its proper divisors (240868992).

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

126918528 is a wasteful number, since it uses less digits than its factorization.

126918528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30075 (or 30063 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 126918528 is about 11265.8123541980. The cubic root of 126918528 is about 502.5450606853.

The spelling of 126918528 in words is "one hundred twenty-six million, nine hundred eighteen thousand, five hundred twenty-eight".