134650997659584 has 1792 divisors, whose sum is σ = 507937337671680. Its totient is φ = 34090647552000.

The previous prime is 134650997659583. The next prime is 134650997659697. The reversal of 134650997659584 is 485956799056431.

134650997659584 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 509 + 9 + 7 + 6 + 59 + 58 + 4 = 666.

134650997659584 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134650997659583) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 176939549764 + ... + 176939550524.

It is an arithmetic number, because the mean of its divisors is an integer number (283447175040).

Almost surely, 2^{134650997659584} is an apocalyptic number.

134650997659584 is a gapful number since it is divisible by the number (14) 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 134650997659584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253968668835840).

134650997659584 is an abundant number, since it is smaller than the sum of its proper divisors (373286340012096).

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

134650997659584 is a wasteful number, since it uses less digits than its factorization.

134650997659584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 8817984000, while the sum is 81.

The spelling of 134650997659584 in words is "one hundred thirty-four trillion, six hundred fifty billion, nine hundred ninety-seven million, six hundred fifty-nine thousand, five hundred eighty-four".