42136992 has 36 divisors (see below), whose sum is σ = 119827890. Its totient is φ = 14045568.

The previous prime is 42136951. The next prime is 42136993. The reversal of 42136992 is 29963124.

It can be written as a sum of positive squares in only one way, i.e., 31404816 + 10732176 = 5604^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42136993) 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, 72867 + ... + 73442.

Almost surely, 2^42136992 is an apocalyptic number.

It is an amenable number.

42136992 is an abundant number, since it is smaller than the sum of its proper divisors (77690898).

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

42136992 is a wasteful number, since it uses less digits than its factorization.

42136992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146325 (or 146314 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 42136992 is about 6491.3012562968. The cubic root of 42136992 is about 347.9801811940.

The spelling of 42136992 in words is "forty-two million, one hundred thirty-six thousand, nine hundred ninety-two".