42137892 has 18 divisors (see below), whose sum is σ = 106515318. Its totient is φ = 14045952.

The previous prime is 42137891. The next prime is 42137903. The reversal of 42137892 is 29873124.

It can be written as a sum of positive squares in only one way, i.e., 42068196 + 69696 = 6486^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1170497 = 42137892 / (4 + 2 + 1 + 3 + 7 + 8 + 9 + 2).

It is not an unprimeable number, because it can be changed into a prime (42137891) 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 5 ways as a sum of consecutive naturals, for example, 585213 + ... + 585284.

Almost surely, 2^42137892 is an apocalyptic number.

It is an amenable number.

42137892 is an abundant number, since it is smaller than the sum of its proper divisors (64377426).

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

42137892 is a wasteful number, since it uses less digits than its factorization.

42137892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170507 (or 1170502 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42137892 is about 6491.3705794693. The cubic root of 42137892 is about 347.9826586682.

The spelling of 42137892 in words is "forty-two million, one hundred thirty-seven thousand, eight hundred ninety-two".