126251504 has 40 divisors (see below), whose sum is σ = 261888000. Its totient is φ = 58781376.

The previous prime is 126251501. The next prime is 126251533. The reversal of 126251504 is 405152621.

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 (126251501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14417 + ... + 21455.

It is an arithmetic number, because the mean of its divisors is an integer number (6547200).

Almost surely, 2^126251504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126251504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944000).

126251504 is an abundant number, since it is smaller than the sum of its proper divisors (135636496).

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

126251504 is a wasteful number, since it uses less digits than its factorization.

126251504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 126251504 is about 11236.1694540444. The cubic root of 126251504 is about 501.6631338380.

The spelling of 126251504 in words is "one hundred twenty-six million, two hundred fifty-one thousand, five hundred four".