134707449600 has 432 divisors, whose sum is σ = 509912919040. Its totient is φ = 34761830400.

The previous prime is 134707449599. The next prime is 134707449637. The reversal of 134707449600 is 6944707431.

134707449600 is a `hidden beast` number, since 1 + 34 + 7 + 0 + 7 + 4 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×134707449600³ (a number of 34 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 5344227 + ... + 5369373.

Almost surely, 2^134707449600 is an apocalyptic number.

134707449600 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 134707449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254956459520).

134707449600 is an abundant number, since it is smaller than the sum of its proper divisors (375205469440).

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

134707449600 is a wasteful number, since it uses less digits than its factorization.

134707449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25213 (or 25188 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 134707449600 in words is "one hundred thirty-four billion, seven hundred seven million, four hundred forty-nine thousand, six hundred".