126250000 has 80 divisors (see below), whose sum is σ = 308788272. Its totient is φ = 50000000.

The previous prime is 126249989. The next prime is 126250001. The reversal of 126250000 is 52621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 121088016 + 5161984 = 11004^2 + 2272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126250001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249950 + ... + 1250050.

Almost surely, 2^126250000 is an apocalyptic number.

126250000 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 126250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154394136).

126250000 is an abundant number, since it is smaller than the sum of its proper divisors (182538272).

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

126250000 is an frugal number, since it uses more digits than its factorization.

126250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 126250000 is about 11236.1025271221. The cubic root of 126250000 is about 501.6611417710.

The spelling of 126250000 in words is "one hundred twenty-six million, two hundred fifty thousand".