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134444000 = 2553192961
BaseRepresentation
bin10000000001101…
…11001111100000
3100100222110111102
420000313033200
5233404202000
621201333532
73221520005
oct1000671740
9310873442
10134444000
1169987849
12390372a8
1321b13482
1413bd98ac
15bc0a3d5
hex80373e0

134444000 has 192 divisors, whose sum is σ = 365601600. Its totient is φ = 48384000.

The previous prime is 134443909. The next prime is 134444003. The reversal of 134444000 is 444431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134444003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2203970 + ... + 2204030.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 2134444000 is an apocalyptic number.

134444000 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 134444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

134444000 is an abundant number, since it is smaller than the sum of its proper divisors (231157600).

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

134444000 is a wasteful number, since it uses less digits than its factorization.

134444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 134444000 is about 11594.9989219491. The cubic root of 134444000 is about 512.2875581930.

Adding to 134444000 its reverse (444431), we get a palindrome (134888431).

The spelling of 134444000 in words is "one hundred thirty-four million, four hundred forty-four thousand".