134948002320 has 200 divisors, whose sum is σ = 469278457560. Its totient is φ = 35941294080.

The previous prime is 134948002309. The next prime is 134948002333. The reversal of 134948002320 is 23200849431.

134948002320 is a `hidden beast` number, since 1 + 349 + 4 + 80 + 0 + 232 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14736017664 + 120211984656 = 121392^2 + 346716^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5359360 + ... + 5384480.

Almost surely, 2^134948002320 is an apocalyptic number.

134948002320 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 134948002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234639228780).

134948002320 is an abundant number, since it is smaller than the sum of its proper divisors (334330455240).

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

134948002320 is a wasteful number, since it uses less digits than its factorization.

134948002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25975 (or 25960 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 134948002320 in words is "one hundred thirty-four billion, nine hundred forty-eight million, two thousand, three hundred twenty".