42134148336 has 160 divisors (see below), whose sum is σ = 125594961408. Its totient is φ = 11922739200.

The previous prime is 42134148317. The next prime is 42134148347. The reversal of 42134148336 is 63384143124.

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

It is a junction number, because it is equal to n+sod(n) for n = 42134148294 and 42134148303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27664471 + ... + 27665993.

Almost surely, 2^42134148336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42134148336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62797480704).

42134148336 is an abundant number, since it is smaller than the sum of its proper divisors (83460813072).

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

42134148336 is a wasteful number, since it uses less digits than its factorization.

42134148336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2273 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The spelling of 42134148336 in words is "forty-two billion, one hundred thirty-four million, one hundred forty-eight thousand, three hundred thirty-six".