126285401 has 36 divisors (see below), whose sum is σ = 154302876. Its totient is φ = 102896640.

The previous prime is 126285353. The next prime is 126285409. The reversal of 126285401 is 104582621.

It can be written as a sum of positive squares in 6 ways, for example, as 5285401 + 121000000 = 2299^2 + 11000^2 .

It is not a de Polignac number, because 126285401 - 2⁶ = 126285337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126285409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1729901 + ... + 1729973.

It is an arithmetic number, because the mean of its divisors is an integer number (4286191).

Almost surely, 2^126285401 is an apocalyptic number.

126285401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126285401 is a deficient number, since it is larger than the sum of its proper divisors (28017475).

126285401 is a wasteful number, since it uses less digits than its factorization.

126285401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 126285401 is about 11237.6777405298. The cubic root of 126285401 is about 501.7080266461.

The spelling of 126285401 in words is "one hundred twenty-six million, two hundred eighty-five thousand, four hundred one".