135140040 has 288 divisors, whose sum is σ = 524983680. Its totient is φ = 30046464.

The previous prime is 135140039. The next prime is 135140063. The reversal of 135140040 is 40041531.

It is a happy number.

It is a super-2 number, since 2×135140040² = 36525660822403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135139995 and 135140022.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 828999 + ... + 829161.

It is an arithmetic number, because the mean of its divisors is an integer number (1822860).

Almost surely, 2^135140040 is an apocalyptic number.

135140040 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 135140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262491840).

135140040 is an abundant number, since it is smaller than the sum of its proper divisors (389843640).

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

135140040 is a wasteful number, since it uses less digits than its factorization.

135140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 135140040 is about 11624.9748386824. The cubic root of 135140040 is about 513.1701042086.

Adding to 135140040 its reverse (40041531), we get a palindrome (175181571).

The spelling of 135140040 in words is "one hundred thirty-five million, one hundred forty thousand, forty".