126881250 has 96 divisors (see below), whose sum is σ = 325104192. Its totient is φ = 33000000.

The previous prime is 126881243. The next prime is 126881257. The reversal of 126881250 is 52188621.

126881250 = 1343² + 1344² + ... + 1409².

It is an interprime number because it is at equal distance from previous prime (126881243) and next prime (126881257).

It is not an unprimeable number, because it can be changed into a prime (126881257) 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, 1256200 + ... + 1256300.

It is an arithmetic number, because the mean of its divisors is an integer number (3386502).

Almost surely, 2^126881250 is an apocalyptic number.

126881250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126881250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162552096).

126881250 is an abundant number, since it is smaller than the sum of its proper divisors (198222942).

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

126881250 is an equidigital number, since it uses as much as digits as its factorization.

126881250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 126881250 is about 11264.1577581282. The cubic root of 126881250 is about 502.4958540288.

The spelling of 126881250 in words is "one hundred twenty-six million, eight hundred eighty-one thousand, two hundred fifty".