134878050616320 has 2464 divisors, whose sum is σ = 572232870794880. Its totient is φ = 30133117255680.

The previous prime is 134878050616303. The next prime is 134878050616391. The reversal of 134878050616320 is 23616050878431.

134878050616320 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 78 + 0 + 506 + 1 + 63 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 28863265504 + ... + 28863270176.

Almost surely, 2^{134878050616320} is an apocalyptic number.

134878050616320 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 134878050616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286116435397440).

134878050616320 is an abundant number, since it is smaller than the sum of its proper divisors (437354820178560).

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

134878050616320 is a wasteful number, since it uses less digits than its factorization.

134878050616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 134878050616320 in words is "one hundred thirty-four trillion, eight hundred seventy-eight billion, fifty million, six hundred sixteen thousand, three hundred twenty".