126754800 has 120 divisors (see below), whose sum is σ = 413906544. Its totient is φ = 33146880.

The previous prime is 126754781. The next prime is 126754807. The reversal of 126754800 is 8457621.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126754807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62604 + ... + 64596.

Almost surely, 2^126754800 is an apocalyptic number.

126754800 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 126754800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206953272).

126754800 is an abundant number, since it is smaller than the sum of its proper divisors (287151744).

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

126754800 is a wasteful number, since it uses less digits than its factorization.

126754800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 126754800 is about 11258.5434226635. The cubic root of 126754800 is about 502.3288692283.

It can be divided in two parts, 12675 and 4800, that multiplied together give a square (60840000 = 7800²).

The spelling of 126754800 in words is "one hundred twenty-six million, seven hundred fifty-four thousand, eight hundred".