135612360 has 192 divisors, whose sum is σ = 490147200. Its totient is φ = 33336576.

The previous prime is 135612359. The next prime is 135612409. The reversal of 135612360 is 63216531.

135612360 is a `hidden beast` number, since 13 + 5 + 612 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 182149 + ... + 182891.

It is an arithmetic number, because the mean of its divisors is an integer number (2552850).

Almost surely, 2^135612360 is an apocalyptic number.

135612360 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 135612360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245073600).

135612360 is an abundant number, since it is smaller than the sum of its proper divisors (354534840).

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

135612360 is a wasteful number, since it uses less digits than its factorization.

135612360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 135612360 is about 11645.2720019757. The cubic root of 135612360 is about 513.7672592635.

Adding to 135612360 its reverse (63216531), we get a palindrome (198828891).

The spelling of 135612360 in words is "one hundred thirty-five million, six hundred twelve thousand, three hundred sixty".