135012672 has 84 divisors (see below), whose sum is σ = 396497556. Its totient is φ = 43898880.

The previous prime is 135012671. The next prime is 135012673. The reversal of 135012672 is 276210531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135012671) and next prime (135012673).

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 98724096 = 6024^2 + 9936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135012671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20758 + ... + 26474.

It is an arithmetic number, because the mean of its divisors is an integer number (4720209).

Almost surely, 2^135012672 is an apocalyptic number.

135012672 is a gapful number since it is divisible by the number (12) 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 135012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198248778).

135012672 is an abundant number, since it is smaller than the sum of its proper divisors (261484884).

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

135012672 is a wasteful number, since it uses less digits than its factorization.

135012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135012672 is about 11619.4953418812. The cubic root of 135012672 is about 513.0088344750.

The spelling of 135012672 in words is "one hundred thirty-five million, twelve thousand, six hundred seventy-two".