134481096000 has 336 divisors, whose sum is σ = 485850547728. Its totient is φ = 35504640000.

The previous prime is 134481095993. The next prime is 134481096089. The reversal of 134481096000 is 690184431.

134481096000 is a `hidden beast` number, since 1 + 3 + 4 + 48 + 1 + 0 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16727800896 + 117753295104 = 129336^2 + 343152^2 .

It is a super-2 number, since 2×134481096000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7262754 + ... + 7281246.

It is an arithmetic number, because the mean of its divisors is an integer number (1445983773).

Almost surely, 2^134481096000 is an apocalyptic number.

134481096000 is a gapful number since it is divisible by the number (10) 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 134481096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242925273864).

134481096000 is an abundant number, since it is smaller than the sum of its proper divisors (351369451728).

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

134481096000 is a wasteful number, since it uses less digits than its factorization.

134481096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18627 (or 18604 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 134481096000 in words is "one hundred thirty-four billion, four hundred eighty-one million, ninety-six thousand".