135712460 has 96 divisors (see below), whose sum is σ = 325987200. Its totient is φ = 47093760.

The previous prime is 135712439. The next prime is 135712517. The reversal of 135712460 is 64217531.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 31 ways as a sum of consecutive naturals, for example, 308921 + ... + 309359.

It is an arithmetic number, because the mean of its divisors is an integer number (3395700).

Almost surely, 2^135712460 is an apocalyptic number.

135712460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135712460 is the 9512-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135712460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162993600).

135712460 is an abundant number, since it is smaller than the sum of its proper divisors (190274740).

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

135712460 is a wasteful number, since it uses less digits than its factorization.

135712460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 135712460 is about 11649.5690907432. The cubic root of 135712460 is about 513.8936377496.

Adding to 135712460 its reverse (64217531), we get a palindrome (199929991).

The spelling of 135712460 in words is "one hundred thirty-five million, seven hundred twelve thousand, four hundred sixty".