135720360 has 96 divisors (see below), whose sum is σ = 457460640. Its totient is φ = 36189504.

The previous prime is 135720337. The next prime is 135720383. The reversal of 135720360 is 63027531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135720337) and next prime (135720383).

It is a super-2 number, since 2×135720360² = 36840032237059200, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2739 + ... + 16701.

It is an arithmetic number, because the mean of its divisors is an integer number (4765215).

Almost surely, 2^135720360 is an apocalyptic number.

135720360 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 135720360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228730320).

135720360 is an abundant number, since it is smaller than the sum of its proper divisors (321740280).

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

135720360 is a wasteful number, since it uses less digits than its factorization.

135720360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13989 (or 13973 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 135720360 is about 11649.9081541444. The cubic root of 135720360 is about 513.9036090300.

Adding to 135720360 its reverse (63027531), we get a palindrome (198747891).

The spelling of 135720360 in words is "one hundred thirty-five million, seven hundred twenty thousand, three hundred sixty".