92307375138 has 256 divisors, whose sum is σ = 222285772800. Its totient is φ = 25256448000.

The previous prime is 92307375133. The next prime is 92307375211. The reversal of 92307375138 is 83157370329.

It is a super-3 number, since 3×92307375138³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (92307375133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509985408 + ... + 509985588.

It is an arithmetic number, because the mean of its divisors is an integer number (868303800).

Almost surely, 2^92307375138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92307375138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111142886400).

92307375138 is an abundant number, since it is smaller than the sum of its proper divisors (129978397662).

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

92307375138 is a wasteful number, since it uses less digits than its factorization.

92307375138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 92307375138 in words is "ninety-two billion, three hundred seven million, three hundred seventy-five thousand, one hundred thirty-eight".