Search a number
-
+
136444000 = 2553711443
BaseRepresentation
bin10000010000111…
…11100001100000
3100111202001222111
420020133201200
5234412202000
621312245104
73244516630
oct1010374140
9314661874
10136444000
1170023440
1239840794
13223638c4
141419a6c0
15bea2cba
hex821f860

136444000 has 192 divisors, whose sum is σ = 418908672. Its totient is φ = 42432000.

The previous prime is 136443991. The next prime is 136444019. The reversal of 136444000 is 444631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307779 + ... + 308221.

It is an arithmetic number, because the mean of its divisors is an integer number (2181816).

Almost surely, 2136444000 is an apocalyptic number.

136444000 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 136444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209454336).

136444000 is an abundant number, since it is smaller than the sum of its proper divisors (282464672).

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

136444000 is a wasteful number, since it uses less digits than its factorization.

136444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 136444000 is about 11680.9246209365. The cubic root of 136444000 is about 514.8153420983.

Adding to 136444000 its reverse (444631), we get a palindrome (136888631).

The spelling of 136444000 in words is "one hundred thirty-six million, four hundred forty-four thousand".