135981760 has 56 divisors (see below), whose sum is σ = 325288656. Its totient is φ = 54144000.

The previous prime is 135981757. The next prime is 135981767. The reversal of 135981760 is 67189531.

It is a super-3 number, since 3×135981760³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (135981767) 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, 79474 + ... + 81166.

It is an arithmetic number, because the mean of its divisors is an integer number (5808726).

Almost surely, 2^135981760 is an apocalyptic number.

135981760 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 135981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162644328).

135981760 is an abundant number, since it is smaller than the sum of its proper divisors (189306896).

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

135981760 is a wasteful number, since it uses less digits than its factorization.

135981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 135981760 is about 11661.1217299195. The cubic root of 135981760 is about 514.2333268213.

The spelling of 135981760 in words is "one hundred thirty-five million, nine hundred eighty-one thousand, seven hundred sixty".