134261323776 has 288 divisors, whose sum is σ = 414453639600. Its totient is φ = 41724149760.

The previous prime is 134261323739. The next prime is 134261323787. The reversal of 134261323776 is 677323162431.

134261323776 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 613 + 23 + 7 + 7 + 6 = 666.

134261323776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×134261323776² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34152531 + ... + 34156461.

Almost surely, 2^134261323776 is an apocalyptic number.

134261323776 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 134261323776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207226819800).

134261323776 is an abundant number, since it is smaller than the sum of its proper divisors (280192315824).

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

134261323776 is a wasteful number, since it uses less digits than its factorization.

134261323776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4062 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 134261323776 in words is "one hundred thirty-four billion, two hundred sixty-one million, three hundred twenty-three thousand, seven hundred seventy-six".