135370224 has 160 divisors (see below), whose sum is σ = 431758080. Its totient is φ = 40262400.

The previous prime is 135370223. The next prime is 135370241. The reversal of 135370224 is 422073531.

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 (135370223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 289639 + ... + 290105.

It is an arithmetic number, because the mean of its divisors is an integer number (2698488).

Almost surely, 2^135370224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135370224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215879040).

135370224 is an abundant number, since it is smaller than the sum of its proper divisors (296387856).

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

135370224 is a wasteful number, since it uses less digits than its factorization.

135370224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 135370224 is about 11634.8710349535. The cubic root of 135370224 is about 513.4612997814.

The spelling of 135370224 in words is "one hundred thirty-five million, three hundred seventy thousand, two hundred twenty-four".