420742137 has 24 divisors (see below), whose sum is σ = 610258080. Its totient is φ = 257126400.

The previous prime is 420742109. The next prime is 420742139. The reversal of 420742137 is 731247024.

It is not a de Polignac number, because 420742137 - 2⁷ = 420742009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420742139) 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 23 ways as a sum of consecutive naturals, for example, 50937 + ... + 58617.

It is an arithmetic number, because the mean of its divisors is an integer number (25427420).

Almost surely, 2^420742137 is an apocalyptic number.

It is an amenable number.

420742137 is a deficient number, since it is larger than the sum of its proper divisors (189515943).

420742137 is a wasteful number, since it uses less digits than its factorization.

420742137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 420742137 is about 20511.9998293682. Note that the first 3 decimals coincide. The cubic root of 420742137 is about 749.3280719745.

The spelling of 420742137 in words is "four hundred twenty million, seven hundred forty-two thousand, one hundred thirty-seven".