126520400 has 30 divisors (see below), whose sum is σ = 303966222. Its totient is φ = 50608000.

The previous prime is 126520397. The next prime is 126520403. The reversal of 126520400 is 4025621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126520397) and next prime (126520403).

It can be written as a sum of positive squares in 3 ways, for example, as 6574096 + 119946304 = 2564^2 + 10952^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126520403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157751 + ... + 158550.

Almost surely, 2^126520400 is an apocalyptic number.

126520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126520400 is an abundant number, since it is smaller than the sum of its proper divisors (177445822).

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

126520400 is a wasteful number, since it uses less digits than its factorization.

126520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316319 (or 316308 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 126520400 is about 11248.1287332605. The cubic root of 126520400 is about 502.0190360130.

The spelling of 126520400 in words is "one hundred twenty-six million, five hundred twenty thousand, four hundred".