420109137 has 36 divisors (see below), whose sum is σ = 712910016. Its totient is φ = 233526240.

The previous prime is 420109091. The next prime is 420109141. The reversal of 420109137 is 731901024.

420109137 is a `hidden beast` number, since 420 + 109 + 137 = 666.

It is not a de Polignac number, because 420109137 - 2¹⁰ = 420108113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420109137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420109147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83812 + ... + 88682.

It is an arithmetic number, because the mean of its divisors is an integer number (19803056).

Almost surely, 2^420109137 is an apocalyptic number.

It is an amenable number.

420109137 is a deficient number, since it is larger than the sum of its proper divisors (292800879).

420109137 is a wasteful number, since it uses less digits than its factorization.

420109137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 420109137 is about 20496.5640291245. The cubic root of 420109137 is about 748.9520992205.

The spelling of 420109137 in words is "four hundred twenty million, one hundred nine thousand, one hundred thirty-seven".