135540020 has 96 divisors (see below), whose sum is σ = 357267456. Its totient is φ = 41961600.

The previous prime is 135540019. The next prime is 135540023. The reversal of 135540020 is 20045531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 135539974 and 135540001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135540023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435665 + ... + 435975.

It is an arithmetic number, because the mean of its divisors is an integer number (3721536).

Almost surely, 2^135540020 is an apocalyptic number.

135540020 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 135540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178633728).

135540020 is an abundant number, since it is smaller than the sum of its proper divisors (221727436).

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

135540020 is a wasteful number, since it uses less digits than its factorization.

135540020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 135540020 is about 11642.1656061061. The cubic root of 135540020 is about 513.6758896814.

Adding to 135540020 its reverse (20045531), we get a palindrome (155585551).

The spelling of 135540020 in words is "one hundred thirty-five million, five hundred forty thousand, twenty".