135356540 has 96 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 46886400.

The previous prime is 135356521. The next prime is 135356563. The reversal of 135356540 is 45653531.

It is a junction number, because it is equal to n+sod(n) for n = 135356497 and 135356506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606869 + ... + 607091.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^135356540 is an apocalyptic number.

135356540 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 135356540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

135356540 is an abundant number, since it is smaller than the sum of its proper divisors (189783940).

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

135356540 is a wasteful number, since it uses less digits than its factorization.

135356540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 135356540 is about 11634.2829602859. The cubic root of 135356540 is about 513.4439979923.

The spelling of 135356540 in words is "one hundred thirty-five million, three hundred fifty-six thousand, five hundred forty".