52139142000 has 720 divisors, whose sum is σ = 205892197056. Its totient is φ = 12279168000.

The previous prime is 52139141987. The next prime is 52139142019. The reversal of 52139142000 is 24193125.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 80585677 + ... + 80586323.

Almost surely, 2^52139142000 is an apocalyptic number.

52139142000 is a gapful number since it is divisible by the number (50) 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 52139142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102946098528).

52139142000 is an abundant number, since it is smaller than the sum of its proper divisors (153753055056).

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

52139142000 is a wasteful number, since it uses less digits than its factorization.

52139142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

It can be divided in two parts, 521391 and 42000, that added together give a triangular number (563391 = T₁₀₆₁).

The spelling of 52139142000 in words is "fifty-two billion, one hundred thirty-nine million, one hundred forty-two thousand".