135147360 has 48 divisors (see below), whose sum is σ = 425715696. Its totient is φ = 36039168.

The previous prime is 135147359. The next prime is 135147367. The reversal of 135147360 is 63741531.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135147367) 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 7 ways as a sum of consecutive naturals, for example, 140299 + ... + 141258.

It is an arithmetic number, because the mean of its divisors is an integer number (8869077).

Almost surely, 2^135147360 is an apocalyptic number.

135147360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135147360 is an abundant number, since it is smaller than the sum of its proper divisors (290568336).

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

135147360 is a wasteful number, since it uses less digits than its factorization.

135147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281575 (or 281567 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 135147360 is about 11625.2896738103. The cubic root of 135147360 is about 513.1793695044.

Adding to 135147360 its reverse (63741531), we get a palindrome (198888891).

The spelling of 135147360 in words is "one hundred thirty-five million, one hundred forty-seven thousand, three hundred sixty".