135522240 has 336 divisors, whose sum is σ = 519818112. Its totient is φ = 29804544.

The previous prime is 135522217. The next prime is 135522271. The reversal of 135522240 is 42225531.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135522240.

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, 2022687 + ... + 2022753.

Almost surely, 2^135522240 is an apocalyptic number.

135522240 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 135522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259909056).

135522240 is an abundant number, since it is smaller than the sum of its proper divisors (384295872).

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

135522240 is a wasteful number, since it uses less digits than its factorization.

135522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 135522240 is about 11641.4019774252. The cubic root of 135522240 is about 513.6534275414.

Adding to 135522240 its reverse (42225531), we get a palindrome (177747771).

The spelling of 135522240 in words is "one hundred thirty-five million, five hundred twenty-two thousand, two hundred forty".