134586144000 has 2592 divisors, whose sum is σ = 669576136320. Its totient is φ = 26320896000.

The previous prime is 134586143977. The next prime is 134586144001. The reversal of 134586144000 is 441685431.

134586144000 is a `hidden beast` number, since 1 + 34 + 5 + 8 + 614 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×134586144000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134586144001) 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 287 ways as a sum of consecutive naturals, for example, 7916831992 + ... + 7916832008.

Almost surely, 2^134586144000 is an apocalyptic number.

134586144000 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 134586144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334788068160).

134586144000 is an abundant number, since it is smaller than the sum of its proper divisors (534989992320).

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

134586144000 is a wasteful number, since it uses less digits than its factorization.

134586144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 134586144000 in words is "one hundred thirty-four billion, five hundred eighty-six million, one hundred forty-four thousand".