134698092480 has 448 divisors, whose sum is σ = 548470287360. Its totient is φ = 30481920000.

The previous prime is 134698092413. The next prime is 134698092481. The reversal of 134698092480 is 84290896431.

134698092480 is a `hidden beast` number, since 1 + 3 + 469 + 80 + 9 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×134698092480⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134698092481) by changing a digit.

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, 6097455 + ... + 6119505.

Almost surely, 2^134698092480 is an apocalyptic number.

134698092480 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 134698092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274235143680).

134698092480 is an abundant number, since it is smaller than the sum of its proper divisors (413772194880).

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

134698092480 is a wasteful number, since it uses less digits than its factorization.

134698092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22185 (or 22169 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 134698092480 in words is "one hundred thirty-four billion, six hundred ninety-eight million, ninety-two thousand, four hundred eighty".