135540000 has 240 divisors, whose sum is σ = 495966240. Its totient is φ = 36000000.

The previous prime is 135539981. The next prime is 135540011. The reversal of 135540000 is 45531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539875 + ... + 540125.

It is an arithmetic number, because the mean of its divisors is an integer number (2066526).

Almost surely, 2^135540000 is an apocalyptic number.

135540000 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 135540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247983120).

135540000 is an abundant number, since it is smaller than the sum of its proper divisors (360426240).

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

135540000 is an equidigital number, since it uses as much as digits as its factorization.

135540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 135540000 is about 11642.1647471594. The cubic root of 135540000 is about 513.6758644158.

Adding to 135540000 its reverse (45531), we get a palindrome (135585531).

The spelling of 135540000 in words is "one hundred thirty-five million, five hundred forty thousand".