134544144600 has 144 divisors (see below), whose sum is σ = 454617126600. Its totient is φ = 35658247680.

The previous prime is 134544144557. The next prime is 134544144601. The reversal of 134544144600 is 6441445431.

134544144600 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 4 + 1 + 44 + 600 = 666.

It is a super-2 number, since 2×134544144600² (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 (134544144601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64116 + ... + 522684.

Almost surely, 2^134544144600 is an apocalyptic number.

134544144600 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 134544144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227308563300).

134544144600 is an abundant number, since it is smaller than the sum of its proper divisors (320072982000).

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

134544144600 is a wasteful number, since it uses less digits than its factorization.

134544144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458754 (or 458742 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 1345441 and 44600, that added together give a square (1390041 = 1179²).

The spelling of 134544144600 in words is "one hundred thirty-four billion, five hundred forty-four million, one hundred forty-four thousand, six hundred".