134587450800 has 480 divisors, whose sum is σ = 525582432000. Its totient is φ = 32439859200.

The previous prime is 134587450799. The next prime is 134587450813. The reversal of 134587450800 is 8054785431.

134587450800 is a `hidden beast` number, since 1 + 3 + 45 + 87 + 450 + 80 + 0 = 666.

It is a super-2 number, since 2×134587450800² (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 95 ways as a sum of consecutive naturals, for example, 21262036 + ... + 21268364.

It is an arithmetic number, because the mean of its divisors is an integer number (1094963400).

Almost surely, 2^134587450800 is an apocalyptic number.

134587450800 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 134587450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262791216000).

134587450800 is an abundant number, since it is smaller than the sum of its proper divisors (390994981200).

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

134587450800 is a wasteful number, since it uses less digits than its factorization.

134587450800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 134587450800 in words is "one hundred thirty-four billion, five hundred eighty-seven million, four hundred fifty thousand, eight hundred".