135501390 has 128 divisors (see below), whose sum is σ = 390510720. Its totient is φ = 33306624.

The previous prime is 135501323. The next prime is 135501391. The reversal of 135501390 is 93105531.

135501390 is a `hidden beast` number, since 13 + 550 + 13 + 90 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135501391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242992 + ... + 243548.

It is an arithmetic number, because the mean of its divisors is an integer number (3050865).

Almost surely, 2^135501390 is an apocalyptic number.

135501390 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 135501390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195255360).

135501390 is an abundant number, since it is smaller than the sum of its proper divisors (255009330).

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

135501390 is a wasteful number, since it uses less digits than its factorization.

135501390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 135501390 is about 11640.5064322821. The cubic root of 135501390 is about 513.6270844526.

The spelling of 135501390 in words is "one hundred thirty-five million, five hundred one thousand, three hundred ninety".