135456090 has 96 divisors (see below), whose sum is σ = 412599744. Its totient is φ = 28143360.

The previous prime is 135456089. The next prime is 135456103. The reversal of 135456090 is 90654531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11982 + ... + 20358.

It is an arithmetic number, because the mean of its divisors is an integer number (4297914).

Almost surely, 2^135456090 is an apocalyptic number.

135456090 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 135456090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206299872).

135456090 is an abundant number, since it is smaller than the sum of its proper divisors (277143654).

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

135456090 is a wasteful number, since it uses less digits than its factorization.

135456090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8412 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 135456090 is about 11638.5604779973. The cubic root of 135456090 is about 513.5698405127.

The spelling of 135456090 in words is "one hundred thirty-five million, four hundred fifty-six thousand, ninety".