42156135 has 48 divisors (see below), whose sum is σ = 85790016. Its totient is φ = 18745344.

The previous prime is 42156131. The next prime is 42156139. The reversal of 42156135 is 53165124.

42156135 is a `hidden beast` number, since 42 + 1 + 5 + 613 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (42156131) and next prime (42156139).

It is not a de Polignac number, because 42156135 - 2² = 42156131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42156099 and 42156108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42156131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9847 + ... + 13463.

It is an arithmetic number, because the mean of its divisors is an integer number (1787292).

Almost surely, 2^42156135 is an apocalyptic number.

42156135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42156135 is an abundant number, since it is smaller than the sum of its proper divisors (43633881).

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

42156135 is a wasteful number, since it uses less digits than its factorization.

42156135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3669 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 42156135 is about 6492.7756006195. The cubic root of 42156135 is about 348.0328694676.

The spelling of 42156135 in words is "forty-two million, one hundred fifty-six thousand, one hundred thirty-five".