135240000 has 420 divisors, whose sum is σ = 542751264. Its totient is φ = 29568000.

The previous prime is 135239983. The next prime is 135240013. The reversal of 135240000 is 42531.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5879989 + ... + 5880011.

Almost surely, 2^135240000 is an apocalyptic number.

135240000 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 135240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271375632).

135240000 is an abundant number, since it is smaller than the sum of its proper divisors (407511264).

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

135240000 is an equidigital number, since it uses as much as digits as its factorization.

135240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 135240000 is about 11629.2734080853. The cubic root of 135240000 is about 513.2965997590.

Adding to 135240000 its reverse (42531), we get a palindrome (135282531).

The spelling of 135240000 in words is "one hundred thirty-five million, two hundred forty thousand".