134002865393280 has 768 divisors, whose sum is σ = 543978649468800. Its totient is φ = 31249242243072.

The previous prime is 134002865393279. The next prime is 134002865393323. The reversal of 134002865393280 is 82393568200431.

134002865393280 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 0 + 2 + 86 + 539 + 3 + 28 + 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 95 ways as a sum of consecutive naturals, for example, 36669222 + ... + 40157658.

Almost surely, 2^{134002865393280} is an apocalyptic number.

134002865393280 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 134002865393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271989324734400).

134002865393280 is an abundant number, since it is smaller than the sum of its proper divisors (409975784075520).

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

134002865393280 is a wasteful number, since it uses less digits than its factorization.

134002865393280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488503 (or 3488479 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 134002865393280 in words is "one hundred thirty-four trillion, two billion, eight hundred sixty-five million, three hundred ninety-three thousand, two hundred eighty".