8138900952 has 768 divisors, whose sum is σ = 31133491200. Its totient is φ = 1914762240.

The previous prime is 8138900947. The next prime is 8138900963. The reversal of 8138900952 is 2590098318.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8138900898 and 8138900907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219970278 + ... + 219970314.

It is an arithmetic number, because the mean of its divisors is an integer number (40538400).

Almost surely, 2^8138900952 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 8138900952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15566745600).

8138900952 is an abundant number, since it is smaller than the sum of its proper divisors (22994590248).

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

8138900952 is a wasteful number, since it uses less digits than its factorization.

8138900952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8138900952 is about 90215.8575417870. The cubic root of 8138900952 is about 2011.5087269075.

The spelling of 8138900952 in words is "eight billion, one hundred thirty-eight million, nine hundred thousand, nine hundred fifty-two".