135222960 has 80 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 35218176.

The previous prime is 135222889. The next prime is 135222977. The reversal of 135222960 is 69222531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×135222960² = 36570497822323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3769 + ... + 16871.

Almost surely, 2^135222960 is an apocalyptic number.

135222960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

135222960 is an abundant number, since it is smaller than the sum of its proper divisors (293749584).

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

135222960 is a wasteful number, since it uses less digits than its factorization.

135222960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13162 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 135222960 is about 11628.5407511003. The cubic root of 135222960 is about 513.2750406999.

The spelling of 135222960 in words is "one hundred thirty-five million, two hundred twenty-two thousand, nine hundred sixty".