134509248000 has 960 divisors, whose sum is σ = 519784499520. Its totient is φ = 34712064000.

The previous prime is 134509247963. The next prime is 134509248061. The reversal of 134509248000 is 842905431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 4339007985 + ... + 4339008015.

It is an arithmetic number, because the mean of its divisors is an integer number (541442187).

Almost surely, 2^134509248000 is an apocalyptic number.

134509248000 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 134509248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259892249760).

134509248000 is an abundant number, since it is smaller than the sum of its proper divisors (385275251520).

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

134509248000 is an frugal number, since it uses more digits than its factorization.

134509248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 134509248000 in words is "one hundred thirty-four billion, five hundred nine million, two hundred forty-eight thousand".