135019560 has 128 divisors (see below), whose sum is σ = 447068160. Its totient is φ = 32409600.

The previous prime is 135019543. The next prime is 135019561. The reversal of 135019560 is 65910531.

It is a super-3 number, since 3×135019560³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (135019561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62905 + ... + 65015.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2^135019560 is an apocalyptic number.

135019560 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 135019560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

135019560 is an abundant number, since it is smaller than the sum of its proper divisors (312048600).

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

135019560 is a wasteful number, since it uses less digits than its factorization.

135019560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 135019560 is about 11619.7917365158. The cubic root of 135019560 is about 513.0175584580.

It can be divided in two parts, 1350 and 19560, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 135019560 in words is "one hundred thirty-five million, nineteen thousand, five hundred sixty".