134763816096 has 480 divisors, whose sum is σ = 509028081408. Its totient is φ = 33995427840.

The previous prime is 134763816079. The next prime is 134763816149. The reversal of 134763816096 is 690618367431.

It is a happy number.

134763816096 is a `hidden beast` number, since 1 + 3 + 476 + 3 + 8 + 160 + 9 + 6 = 666.

134763816096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134763816096² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5412636 + ... + 5437476.

Almost surely, 2^134763816096 is an apocalyptic number.

134763816096 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 134763816096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254514040704).

134763816096 is an abundant number, since it is smaller than the sum of its proper divisors (374264265312).

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

134763816096 is a wasteful number, since it uses less digits than its factorization.

134763816096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24906 (or 24889 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 134763816096 in words is "one hundred thirty-four billion, seven hundred sixty-three million, eight hundred sixteen thousand, ninety-six".