126721400 has 192 divisors, whose sum is σ = 348727680. Its totient is φ = 42393600.

The previous prime is 126721391. The next prime is 126721403. The reversal of 126721400 is 4127621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126721403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2077370 + ... + 2077430.

It is an arithmetic number, because the mean of its divisors is an integer number (1816290).

Almost surely, 2^126721400 is an apocalyptic number.

126721400 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 126721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

126721400 is an abundant number, since it is smaller than the sum of its proper divisors (222006280).

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

126721400 is a wasteful number, since it uses less digits than its factorization.

126721400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 126721400 is about 11257.0600069468. The cubic root of 126721400 is about 502.2847439878.

The spelling of 126721400 in words is "one hundred twenty-six million, seven hundred twenty-one thousand, four hundred".