126264528 has 80 divisors (see below), whose sum is σ = 390322240. Its totient is φ = 38848896.

The previous prime is 126264511. The next prime is 126264613. The reversal of 126264528 is 825462621.

It is a happy number.

126264528 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 645 + 2 + 8 = 666.

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

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 126264492 and 126264501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5626 + ... + 16857.

It is an arithmetic number, because the mean of its divisors is an integer number (4879028).

Almost surely, 2^126264528 is an apocalyptic number.

126264528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126264528 is an abundant number, since it is smaller than the sum of its proper divisors (264057712).

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

126264528 is a wasteful number, since it uses less digits than its factorization.

126264528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22513 (or 22501 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 126264528 is about 11236.7489960397. The cubic root of 126264528 is about 501.6803836285.

The spelling of 126264528 in words is "one hundred twenty-six million, two hundred sixty-four thousand, five hundred twenty-eight".