126355400 has 48 divisors (see below), whose sum is σ = 298621140. Its totient is φ = 49708800.

The previous prime is 126355393. The next prime is 126355417. The reversal of 126355400 is 4553621.

It can be written as a sum of positive squares in 6 ways, for example, as 14122564 + 112232836 = 3758^2 + 10594^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 126355400.

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 11 ways as a sum of consecutive naturals, for example, 7022 + ... + 17378.

Almost surely, 2^126355400 is an apocalyptic number.

126355400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149310570).

126355400 is an abundant number, since it is smaller than the sum of its proper divisors (172265740).

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

126355400 is a wasteful number, since it uses less digits than its factorization.

126355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434 (or 10425 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 126355400 is about 11240.7917870584. The cubic root of 126355400 is about 501.8007071225.

The spelling of 126355400 in words is "one hundred twenty-six million, three hundred fifty-five thousand, four hundred".