126745200 has 360 divisors, whose sum is σ = 494722800. Its totient is φ = 29859840.

The previous prime is 126745189. The next prime is 126745247. The reversal of 126745200 is 2547621.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1162746 + ... + 1162854.

It is an arithmetic number, because the mean of its divisors is an integer number (1374230).

Almost surely, 2^126745200 is an apocalyptic number.

126745200 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 126745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247361400).

126745200 is an abundant number, since it is smaller than the sum of its proper divisors (367977600).

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

126745200 is a wasteful number, since it uses less digits than its factorization.

126745200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

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

The square root of 126745200 is about 11258.1170716954. The cubic root of 126745200 is about 502.3161873183.

The spelling of 126745200 in words is "one hundred twenty-six million, seven hundred forty-five thousand, two hundred".