134097448320 has 1024 divisors, whose sum is σ = 555911424000. Its totient is φ = 30218158080.

The previous prime is 134097448319. The next prime is 134097448363. The reversal of 134097448320 is 23844790431.

It is a super-3 number, since 3×134097448320³ (a number of 34 digits) contains 333 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161757666 + ... + 161758494.

It is an arithmetic number, because the mean of its divisors is an integer number (542882250).

Almost surely, 2^134097448320 is an apocalyptic number.

134097448320 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 134097448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277955712000).

134097448320 is an abundant number, since it is smaller than the sum of its proper divisors (421813975680).

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

134097448320 is a wasteful number, since it uses less digits than its factorization.

134097448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 134097448320 in words is "one hundred thirty-four billion, ninety-seven million, four hundred forty-eight thousand, three hundred twenty".