135424968 has 64 divisors (see below), whose sum is σ = 396385920. Its totient is φ = 37747200.

The previous prime is 135424967. The next prime is 135424969. The reversal of 135424968 is 869424531.

It is an interprime number because it is at equal distance from previous prime (135424967) and next prime (135424969).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (135424967) 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 15 ways as a sum of consecutive naturals, for example, 2943 + ... + 16718.

It is an arithmetic number, because the mean of its divisors is an integer number (6193530).

Almost surely, 2^135424968 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 135424968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198192960).

135424968 is an abundant number, since it is smaller than the sum of its proper divisors (260960952).

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

135424968 is a wasteful number, since it uses less digits than its factorization.

135424968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19718 (or 19714 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 135424968 is about 11637.2233801711. The cubic root of 135424968 is about 513.5305053923.

The spelling of 135424968 in words is "one hundred thirty-five million, four hundred twenty-four thousand, nine hundred sixty-eight".