126264540 has 48 divisors (see below), whose sum is σ = 354846240. Its totient is φ = 33546240.

The previous prime is 126264511. The next prime is 126264613. The reversal of 126264540 is 45462621.

It is a super-2 number, since 2×126264540² = 31885468122823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126264498 and 126264507.

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, 13116 + ... + 20604.

It is an arithmetic number, because the mean of its divisors is an integer number (7392630).

Almost surely, 2^126264540 is an apocalyptic number.

126264540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126264540 is an abundant number, since it is smaller than the sum of its proper divisors (228581700).

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

126264540 is a wasteful number, since it uses less digits than its factorization.

126264540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 126264540 is about 11236.7495300020. The cubic root of 126264540 is about 501.6803995215.

The spelling of 126264540 in words is "one hundred twenty-six million, two hundred sixty-four thousand, five hundred forty".