135001440 has 288 divisors, whose sum is σ = 537788160. Its totient is φ = 30200832.

The previous prime is 135001423. The next prime is 135001453. The reversal of 135001440 is 44100531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594607 + ... + 594833.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^135001440 is an apocalyptic number.

135001440 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 135001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

135001440 is an abundant number, since it is smaller than the sum of its proper divisors (402786720).

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

135001440 is a wasteful number, since it uses less digits than its factorization.

135001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 135001440 is about 11619.0120061905. The cubic root of 135001440 is about 512.9946079709.

Adding to 135001440 its reverse (44100531), we get a palindrome (179101971).

Subtracting from 135001440 its reverse (44100531), we obtain a palindrome (90900909).

The spelling of 135001440 in words is "one hundred thirty-five million, one thousand, four hundred forty".