134097233760 has 864 divisors, whose sum is σ = 549910801440. Its totient is φ = 29652811776.

The previous prime is 134097233729. The next prime is 134097233827. The reversal of 134097233760 is 67332790431.

It is a happy number.

134097233760 is a `hidden beast` number, since 1 + 3 + 409 + 7 + 233 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 585577326 + ... + 585577554.

It is an arithmetic number, because the mean of its divisors is an integer number (636470835).

Almost surely, 2^134097233760 is an apocalyptic number.

134097233760 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 134097233760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274955400720).

134097233760 is an abundant number, since it is smaller than the sum of its proper divisors (415813567680).

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

134097233760 is a wasteful number, since it uses less digits than its factorization.

134097233760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 134097233760 in words is "one hundred thirty-four billion, ninety-seven million, two hundred thirty-three thousand, seven hundred sixty".