135534240 has 72 divisors (see below), whose sum is σ = 462515508. Its totient is φ = 36142080.

The previous prime is 135534221. The next prime is 135534241. The reversal of 135534240 is 42435531.

It can be written as a sum of positive squares in 2 ways, for example, as 132987024 + 2547216 = 11532^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (135534241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45621 + ... + 48500.

Almost surely, 2^135534240 is an apocalyptic number.

135534240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135534240 is an abundant number, since it is smaller than the sum of its proper divisors (326981268).

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

135534240 is a wasteful number, since it uses less digits than its factorization.

135534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94142 (or 94131 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 135534240 is about 11641.9173678566. The cubic root of 135534240 is about 513.6685878064.

Adding to 135534240 its reverse (42435531), we get a palindrome (177969771).

The spelling of 135534240 in words is "one hundred thirty-five million, five hundred thirty-four thousand, two hundred forty".