42137577 has 40 divisors (see below), whose sum is σ = 67744512. Its totient is φ = 26006400.

The previous prime is 42137567. The next prime is 42137581. The reversal of 42137577 is 77573124.

It is not a de Polignac number, because 42137577 - 2⁸ = 42137321 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42137507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97552 + ... + 97982.

Almost surely, 2^42137577 is an apocalyptic number.

It is an amenable number.

42137577 is a deficient number, since it is larger than the sum of its proper divisors (25606935).

42137577 is a wasteful number, since it uses less digits than its factorization.

42137577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 42137577 is about 6491.3463164431. The cubic root of 42137577 is about 347.9817915562.

The spelling of 42137577 in words is "forty-two million, one hundred thirty-seven thousand, five hundred seventy-seven".