135590301 has 80 divisors (see below), whose sum is σ = 257680000. Its totient is φ = 70436520.

The previous prime is 135590281. The next prime is 135590369. The reversal of 135590301 is 103095531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

135590301 is a `hidden beast` number, since 1 + 355 + 9 + 0 + 301 = 666.

It is not a de Polignac number, because 135590301 - 2⁹ = 135589789 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135590101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12326386 + ... + 12326396.

It is an arithmetic number, because the mean of its divisors is an integer number (3221000).

Almost surely, 2^135590301 is an apocalyptic number.

135590301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135590301 is a deficient number, since it is larger than the sum of its proper divisors (122089699).

135590301 is an frugal number, since it uses more digits than its factorization.

135590301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

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

The square root of 135590301 is about 11644.3248408828. The cubic root of 135590301 is about 513.7394009215.

The spelling of 135590301 in words is "one hundred thirty-five million, five hundred ninety thousand, three hundred one".