126542400 has 168 divisors, whose sum is σ = 425951904. Its totient is φ = 32870400.

The previous prime is 126542387. The next prime is 126542461. The reversal of 126542400 is 4245621.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 196479 + ... + 197121.

It is an arithmetic number, because the mean of its divisors is an integer number (2535428).

Almost surely, 2^126542400 is an apocalyptic number.

126542400 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 126542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212975952).

126542400 is an abundant number, since it is smaller than the sum of its proper divisors (299409504).

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

126542400 is a wasteful number, since it uses less digits than its factorization.

126542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 126542400 is about 11249.1066311952. The cubic root of 126542400 is about 502.0481321870.

The spelling of 126542400 in words is "one hundred twenty-six million, five hundred forty-two thousand, four hundred".