135720312 has 64 divisors (see below), whose sum is σ = 417607680. Its totient is φ = 35793792.

The previous prime is 135720311. The next prime is 135720313. The reversal of 135720312 is 213027531.

135720312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135720311) and next prime (135720313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135720311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28888 + ... + 33255.

It is an arithmetic number, because the mean of its divisors is an integer number (6525120).

Almost surely, 2^135720312 is an apocalyptic number.

135720312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135720312 is an abundant number, since it is smaller than the sum of its proper divisors (281887368).

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

135720312 is a wasteful number, since it uses less digits than its factorization.

135720312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62172 (or 62168 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 135720312 is about 11649.9060940421. The cubic root of 135720312 is about 513.9035484461.

Adding to 135720312 its reverse (213027531), we get a palindrome (348747843).

The spelling of 135720312 in words is "one hundred thirty-five million, seven hundred twenty thousand, three hundred twelve".