134324628480 has 704 divisors, whose sum is σ = 550359367680. Its totient is φ = 30433148928.

The previous prime is 134324628479. The next prime is 134324628499. The reversal of 134324628480 is 84826423431.

It is a happy number.

134324628480 is a `hidden beast` number, since 1 + 3 + 4 + 32 + 462 + 84 + 80 = 666.

It is a super-2 number, since 2×134324628480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122894814 + ... + 122895906.

Almost surely, 2^134324628480 is an apocalyptic number.

134324628480 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 134324628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275179683840).

134324628480 is an abundant number, since it is smaller than the sum of its proper divisors (416034739200).

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

134324628480 is a wasteful number, since it uses less digits than its factorization.

134324628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 134324628480 in words is "one hundred thirty-four billion, three hundred twenty-four million, six hundred twenty-eight thousand, four hundred eighty".