126752400 has 180 divisors, whose sum is σ = 444800772. Its totient is φ = 33423360.

The previous prime is 126752369. The next prime is 126752407. The reversal of 126752400 is 4257621.

It can be written as a sum of positive squares in 6 ways, for example, as 6718464 + 120033936 = 2592^2 + 10956^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126752407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 493072 + ... + 493328.

Almost surely, 2^126752400 is an apocalyptic number.

126752400 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 126752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222400386).

126752400 is an abundant number, since it is smaller than the sum of its proper divisors (318048372).

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

126752400 is a wasteful number, since it uses less digits than its factorization.

126752400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 126752400 is about 11258.4368364352. The cubic root of 126752400 is about 502.3256988109.

The spelling of 126752400 in words is "one hundred twenty-six million, seven hundred fifty-two thousand, four hundred".