144135936 has 216 divisors, whose sum is σ = 494026624. Its totient is φ = 41057280.

The previous prime is 144135931. The next prime is 144135949. The reversal of 144135936 is 639531441.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144135936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144135931) 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 23 ways as a sum of consecutive naturals, for example, 435291 + ... + 435621.

Almost surely, 2^144135936 is an apocalyptic number.

144135936 is a gapful number since it is divisible by the number (16) 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 144135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247013312).

144135936 is an abundant number, since it is smaller than the sum of its proper divisors (349890688).

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

144135936 is an frugal number, since it uses more digits than its factorization.

144135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 343 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 144135936 is about 12005.6626639266. The cubic root of 144135936 is about 524.3131589621.

The spelling of 144135936 in words is "one hundred forty-four million, one hundred thirty-five thousand, nine hundred thirty-six".