134584200000 has 336 divisors, whose sum is σ = 494553971520. Its totient is φ = 35887680000.

The previous prime is 134584199969. The next prime is 134584200019. The reversal of 134584200000 is 2485431.

134584200000 is a `hidden beast` number, since 1 + 3 + 458 + 4 + 200 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×134584200000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5387539 + ... + 5412461.

It is an arithmetic number, because the mean of its divisors is an integer number (1471886820).

Almost surely, 2^134584200000 is an apocalyptic number.

134584200000 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 134584200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247276985760).

134584200000 is an abundant number, since it is smaller than the sum of its proper divisors (359969771520).

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

134584200000 is an frugal number, since it uses more digits than its factorization.

134584200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24969 (or 24933 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 134584200000 its reverse (2485431), we get a palindrome (134586685431).

The spelling of 134584200000 in words is "one hundred thirty-four billion, five hundred eighty-four million, two hundred thousand".