126957140 has 24 divisors (see below), whose sum is σ = 266936040. Its totient is φ = 50720768.

The previous prime is 126957109. The next prime is 126957143. The reversal of 126957140 is 41759621.

It can be written as a sum of positive squares in 4 ways, for example, as 5692996 + 121264144 = 2386^2 + 11012^2 .

It is a super-2 number, since 2×126957140² = 32236230793959200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126957140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126957143) 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 7 ways as a sum of consecutive naturals, for example, 15164 + ... + 21996.

It is an arithmetic number, because the mean of its divisors is an integer number (11122335).

Almost surely, 2^126957140 is an apocalyptic number.

126957140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126957140 is an abundant number, since it is smaller than the sum of its proper divisors (139978900).

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

126957140 is a wasteful number, since it uses less digits than its factorization.

126957140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 126957140 is about 11267.5259041193. The cubic root of 126957140 is about 502.5960180534.

The spelling of 126957140 in words is "one hundred twenty-six million, nine hundred fifty-seven thousand, one hundred forty".