42150095136 has 144 divisors (see below), whose sum is σ = 125991500544. Its totient is φ = 13340777472.

The previous prime is 42150095123. The next prime is 42150095167. The reversal of 42150095136 is 63159005124.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42150095136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884265 + ... + 930711.

It is an arithmetic number, because the mean of its divisors is an integer number (874940976).

Almost surely, 2^42150095136 is an apocalyptic number.

42150095136 is a gapful number since it is divisible by the number (46) 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 42150095136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995750272).

42150095136 is an abundant number, since it is smaller than the sum of its proper divisors (83841405408).

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

42150095136 is a wasteful number, since it uses less digits than its factorization.

42150095136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46623 (or 46612 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 421500 and 95136, that added together give a triangular number (516636 = T₁₀₁₆).

The spelling of 42150095136 in words is "forty-two billion, one hundred fifty million, ninety-five thousand, one hundred thirty-six".