126075340 has 48 divisors (see below), whose sum is σ = 273194208. Its totient is φ = 48848384.

The previous prime is 126075331. The next prime is 126075347. The reversal of 126075340 is 43570621.

126075340 = 331² + 332² + ... + 745².

It is a super-2 number, since 2×126075340² = 31789982712231200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 126075299 and 126075308.

It is not an unprimeable number, because it can be changed into a prime (126075347) 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 15 ways as a sum of consecutive naturals, for example, 87264 + ... + 88696.

It is an arithmetic number, because the mean of its divisors is an integer number (5691546).

Almost surely, 2^126075340 is an apocalyptic number.

126075340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126075340 is an abundant number, since it is smaller than the sum of its proper divisors (147118868).

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

126075340 is a wasteful number, since it uses less digits than its factorization.

126075340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 126075340 is about 11228.3275691440. The cubic root of 126075340 is about 501.4296947163.

The spelling of 126075340 in words is "one hundred twenty-six million, seventy-five thousand, three hundred forty".