135578982 has 128 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 34245120.

The previous prime is 135578953. The next prime is 135578987. The reversal of 135578982 is 289875531.

Its product of digits (604800) is a multiple of the sum of its prime divisors (189).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135578987) 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 63 ways as a sum of consecutive naturals, for example, 1199758 + ... + 1199870.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2^135578982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135578982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

135578982 is an abundant number, since it is smaller than the sum of its proper divisors (219006618).

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

135578982 is a wasteful number, since it uses less digits than its factorization.

135578982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 135578982 is about 11643.8387999834. The cubic root of 135578982 is about 513.7251049676.

The spelling of 135578982 in words is "one hundred thirty-five million, five hundred seventy-eight thousand, nine hundred eighty-two".