134071916160 has 512 divisors, whose sum is σ = 553671014400. Its totient is φ = 26798211072.

The previous prime is 134071916131. The next prime is 134071916171. The reversal of 134071916160 is 61619170431.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 3299487 + ... + 3339873.

It is an arithmetic number, because the mean of its divisors is an integer number (1081388700).

Almost surely, 2^134071916160 is an apocalyptic number.

134071916160 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 134071916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276835507200).

134071916160 is an abundant number, since it is smaller than the sum of its proper divisors (419599098240).

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

134071916160 is a wasteful number, since it uses less digits than its factorization.

134071916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40448 (or 40436 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 134071916160 in words is "one hundred thirty-four billion, seventy-one million, nine hundred sixteen thousand, one hundred sixty".