135541440 has 168 divisors, whose sum is σ = 490941360. Its totient is φ = 34228224.

The previous prime is 135541429. The next prime is 135541453. The reversal of 135541440 is 44145531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53482 + ... + 55958.

It is an arithmetic number, because the mean of its divisors is an integer number (2922270).

Almost surely, 2^135541440 is an apocalyptic number.

135541440 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 135541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245470680).

135541440 is an abundant number, since it is smaller than the sum of its proper divisors (355399920).

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

135541440 is a wasteful number, since it uses less digits than its factorization.

135541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 135541440 is about 11642.2265911637. The cubic root of 135541440 is about 513.6776835359.

Adding to 135541440 its reverse (44145531), we get a palindrome (179686971).

It can be divided in two parts, 135541 and 440, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 135541440 in words is "one hundred thirty-five million, five hundred forty-one thousand, four hundred forty".