134065591296 has 704 divisors, whose sum is σ = 475401830400. Its totient is φ = 32609009664.

The previous prime is 134065591291. The next prime is 134065591313. The reversal of 134065591296 is 692195560431.

It is a super-2 number, since 2×134065591296² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134065591291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186460825 + ... + 186461543.

Almost surely, 2^134065591296 is an apocalyptic number.

134065591296 is a gapful number since it is divisible by the number (16) 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 134065591296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237700915200).

134065591296 is an abundant number, since it is smaller than the sum of its proper divisors (341336239104).

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

134065591296 is a wasteful number, since it uses less digits than its factorization.

134065591296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 134065591296 in words is "one hundred thirty-four billion, sixty-five million, five hundred ninety-one thousand, two hundred ninety-six".