42139008 has 128 divisors (see below), whose sum is σ = 126684000. Its totient is φ = 13787136.

The previous prime is 42139007. The next prime is 42139037. The reversal of 42139008 is 80093124.

It is a tau number, because it is divible by the number of its divisors (128).

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 (42139003) 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 15 ways as a sum of consecutive naturals, for example, 307516 + ... + 307652.

Almost surely, 2^42139008 is an apocalyptic number.

42139008 is a gapful number since it is divisible by the number (48) 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 42139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63342000).

42139008 is an abundant number, since it is smaller than the sum of its proper divisors (84544992).

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

42139008 is a wasteful number, since it uses less digits than its factorization.

42139008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

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

The square root of 42139008 is about 6491.4565391752. The cubic root of 42139008 is about 347.9857306872.

The spelling of 42139008 in words is "forty-two million, one hundred thirty-nine thousand, eight".