8137348128000 has 1440 divisors, whose sum is σ = 37270737504000. Its totient is φ = 1716841267200.

The previous prime is 8137348127969. The next prime is 8137348128017. The reversal of 8137348128000 is 8218437318.

8137348128000 is a `hidden beast` number, since 81 + 3 + 73 + 481 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 235854751 + ... + 235889249.

It is an arithmetic number, because the mean of its divisors is an integer number (25882456600).

Almost surely, 2^{8137348128000} is an apocalyptic number.

8137348128000 is a gapful number since it is divisible by the number (80) 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 8137348128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18635368752000).

8137348128000 is an abundant number, since it is smaller than the sum of its proper divisors (29133389376000).

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

8137348128000 is a wasteful number, since it uses less digits than its factorization.

8137348128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34562 (or 34529 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 8137348128000 in words is "eight trillion, one hundred thirty-seven billion, three hundred forty-eight million, one hundred twenty-eight thousand".