135409050 has 288 divisors, whose sum is σ = 458006400. Its totient is φ = 29272320.

The previous prime is 135409049. The next prime is 135409061. The reversal of 135409050 is 50904531.

It is a super-2 number, since 2×135409050² = 36671221643805000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1521406 + ... + 1521494.

It is an arithmetic number, because the mean of its divisors is an integer number (1590300).

Almost surely, 2^135409050 is an apocalyptic number.

135409050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135409050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229003200).

135409050 is an abundant number, since it is smaller than the sum of its proper divisors (322597350).

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

135409050 is a wasteful number, since it uses less digits than its factorization.

135409050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135409050 is about 11636.5394340414. The cubic root of 135409050 is about 513.5103842900.

The spelling of 135409050 in words is "one hundred thirty-five million, four hundred nine thousand, fifty".