42738137 has 8 divisors (see below), whose sum is σ = 46449480. Its totient is φ = 39087360.

The previous prime is 42738121. The next prime is 42738169. The reversal of 42738137 is 73183724.

It can be written as a sum of positive squares in 4 ways, for example, as 8386816 + 34351321 = 2896^2 + 5861^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42738137 - 2⁴ = 42738121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42738097 and 42738106.

It is not an unprimeable number, because it can be changed into a prime (42738337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13664 + ... + 16497.

It is an arithmetic number, because the mean of its divisors is an integer number (5806185).

Almost surely, 2^42738137 is an apocalyptic number.

It is an amenable number.

42738137 is a deficient number, since it is larger than the sum of its proper divisors (3711343).

42738137 is a wasteful number, since it uses less digits than its factorization.

42738137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30283.

The product of its digits is 28224, while the sum is 35.

The square root of 42738137 is about 6537.4411660833. The cubic root of 42738137 is about 349.6271867009.

It can be divided in two parts, 42738 and 137, that added together give a cube (42875 = 35³).

The spelling of 42738137 in words is "forty-two million, seven hundred thirty-eight thousand, one hundred thirty-seven".