134307830099520 has 1344 divisors, whose sum is σ = 601902673459200. Its totient is φ = 27878779514880.

The previous prime is 134307830099503. The next prime is 134307830099537. The reversal of 134307830099520 is 25990038703431.

134307830099520 is a `hidden beast` number, since 1 + 3 + 4 + 30 + 7 + 83 + 0 + 0 + 9 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (134307830099503) and next prime (134307830099537).

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 4577777011 + ... + 4577806349.

Almost surely, 2^{134307830099520} is an apocalyptic number.

134307830099520 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 134307830099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300951336729600).

134307830099520 is an abundant number, since it is smaller than the sum of its proper divisors (467594843359680).

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

134307830099520 is a wasteful number, since it uses less digits than its factorization.

134307830099520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30373 (or 30350 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 134307830099520 in words is "one hundred thirty-four trillion, three hundred seven billion, eight hundred thirty million, ninety-nine thousand, five hundred twenty".