42149160 has 80 divisors (see below), whose sum is σ = 141678900. Its totient is φ = 11238912.

The previous prime is 42149131. The next prime is 42149161. The reversal of 42149160 is 6194124.

It can be written as a sum of positive squares in 2 ways, for example, as 39917124 + 2232036 = 6318^2 + 1494^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42149161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3265 + ... + 9744.

Almost surely, 2^42149160 is an apocalyptic number.

42149160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42149160 is an abundant number, since it is smaller than the sum of its proper divisors (99529740).

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

42149160 is a wasteful number, since it uses less digits than its factorization.

42149160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13032 (or 13019 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42149160 is about 6492.2384429409. The cubic root of 42149160 is about 348.0136736601.

The spelling of 42149160 in words is "forty-two million, one hundred forty-nine thousand, one hundred sixty".