85874157138 has 192 divisors, whose sum is σ = 225705553920. Its totient is φ = 21280744320.

The previous prime is 85874157137. The next prime is 85874157163. The reversal of 85874157138 is 83175147858.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85874157137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65104843 + ... + 65106161.

It is an arithmetic number, because the mean of its divisors is an integer number (1175549760).

Almost surely, 2^85874157138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85874157138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112852776960).

85874157138 is an abundant number, since it is smaller than the sum of its proper divisors (139831396782).

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

85874157138 is a wasteful number, since it uses less digits than its factorization.

85874157138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1922 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 57.

The spelling of 85874157138 in words is "eighty-five billion, eight hundred seventy-four million, one hundred fifty-seven thousand, one hundred thirty-eight".