126801504 has 192 divisors, whose sum is σ = 400075200. Its totient is φ = 38928384.

The previous prime is 126801503. The next prime is 126801509. The reversal of 126801504 is 405108621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126801503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307184 + ... + 1307280.

It is an arithmetic number, because the mean of its divisors is an integer number (2083725).

Almost surely, 2^126801504 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 126801504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200037600).

126801504 is an abundant number, since it is smaller than the sum of its proper divisors (273273696).

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

126801504 is a wasteful number, since it uses less digits than its factorization.

126801504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 126801504 is about 11260.6173898237. The cubic root of 126801504 is about 502.3905575869.

The spelling of 126801504 in words is "one hundred twenty-six million, eight hundred one thousand, five hundred four".