134288949600 has 576 divisors, whose sum is σ = 539945441280. Its totient is φ = 31987353600.

The previous prime is 134288949593. The next prime is 134288949611. The reversal of 134288949600 is 6949882431.

134288949600 is a `hidden beast` number, since 1 + 3 + 4 + 28 + 8 + 9 + 4 + 9 + 600 = 666.

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

It is a congruent number.

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, 8697087 + ... + 8712513.

It is an arithmetic number, because the mean of its divisors is an integer number (937405280).

Almost surely, 2^134288949600 is an apocalyptic number.

134288949600 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 134288949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269972720640).

134288949600 is an abundant number, since it is smaller than the sum of its proper divisors (405656491680).

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

134288949600 is a wasteful number, since it uses less digits than its factorization.

134288949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15500 (or 15481 counting only the distinct ones).

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

The spelling of 134288949600 in words is "one hundred thirty-four billion, two hundred eighty-eight million, nine hundred forty-nine thousand, six hundred".