8137537264164 has 288 divisors, whose sum is σ = 25786158146560. Its totient is φ = 1948280843520.

The previous prime is 8137537264147. The next prime is 8137537264237. The reversal of 8137537264164 is 4614627357318.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6575859 + ... + 7714725.

Almost surely, 2^{8137537264164} is an apocalyptic number.

8137537264164 is a gapful number since it is divisible by the number (84) 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 8137537264164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893079073280).

8137537264164 is an abundant number, since it is smaller than the sum of its proper divisors (17648620882396).

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

8137537264164 is a wasteful number, since it uses less digits than its factorization.

8137537264164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138959 (or 1138946 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 8137537264164 in words is "eight trillion, one hundred thirty-seven billion, five hundred thirty-seven million, two hundred sixty-four thousand, one hundred sixty-four".