126634400 has 36 divisors (see below), whose sum is σ = 309148182. Its totient is φ = 50653440.

The previous prime is 126634399. The next prime is 126634423. The reversal of 126634400 is 4436621.

It can be written as a sum of positive squares in 3 ways, for example, as 115691536 + 10942864 = 10756^2 + 3308^2 .

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 126634400.

It is an unprimeable number.

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, 78347 + ... + 79946.

Almost surely, 2^126634400 is an apocalyptic number.

126634400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126634400 is an abundant number, since it is smaller than the sum of its proper divisors (182513782).

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

126634400 is a wasteful number, since it uses less digits than its factorization.

126634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158313 (or 158300 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 126634400 is about 11253.1951018366. The cubic root of 126634400 is about 502.1697705712.

The spelling of 126634400 in words is "one hundred twenty-six million, six hundred thirty-four thousand, four hundred".