126693200 has 120 divisors (see below), whose sum is σ = 325479168. Its totient is φ = 47280640.

The previous prime is 126693173. The next prime is 126693211. The reversal of 126693200 is 2396621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432254 + ... + 432546.

Almost surely, 2^126693200 is an apocalyptic number.

126693200 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 126693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584).

126693200 is an abundant number, since it is smaller than the sum of its proper divisors (198785968).

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

126693200 is a wasteful number, since it uses less digits than its factorization.

126693200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 126693200 is about 11255.8073899654. The cubic root of 126693200 is about 502.2474825082.

The spelling of 126693200 in words is "one hundred twenty-six million, six hundred ninety-three thousand, two hundred".