135417424 has 40 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 63916800.

The previous prime is 135417421. The next prime is 135417431. The reversal of 135417424 is 424714531.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135417421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17007 + ... + 23665.

It is an arithmetic number, because the mean of its divisors is an integer number (6937056).

Almost surely, 2^135417424 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 135417424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741120).

135417424 is an abundant number, since it is smaller than the sum of its proper divisors (142064816).

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

135417424 is a wasteful number, since it uses less digits than its factorization.

135417424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6733 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 135417424 is about 11636.8992433552. The cubic root of 135417424 is about 513.5209696173.

The spelling of 135417424 in words is "one hundred thirty-five million, four hundred seventeen thousand, four hundred twenty-four".