42136560 has 120 divisors (see below), whose sum is σ = 144905904. Its totient is φ = 10967040.

The previous prime is 42136559. The next prime is 42136573. The reversal of 42136560 is 6563124.

42136560 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 656 + 0 = 666.

42136560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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, 30280 + ... + 31640.

Almost surely, 2^42136560 is an apocalyptic number.

42136560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42136560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72452952).

42136560 is an abundant number, since it is smaller than the sum of its proper divisors (102769344).

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

42136560 is a wasteful number, since it uses less digits than its factorization.

42136560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42136560 is about 6491.2679809110. The cubic root of 42136560 is about 347.9789919938.

Adding to 42136560 its reverse (6563124), we get a palindrome (48699684).

The spelling of 42136560 in words is "forty-two million, one hundred thirty-six thousand, five hundred sixty".