135137152 has 32 divisors (see below), whose sum is σ = 271630080. Its totient is φ = 66963456.

The previous prime is 135137147. The next prime is 135137159. The reversal of 135137152 is 251731531.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×135137152² = 36524099701342208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135137152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135137159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9793 + ... + 19135.

It is an arithmetic number, because the mean of its divisors is an integer number (8488440).

Almost surely, 2^135137152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135815040).

135137152 is an abundant number, since it is smaller than the sum of its proper divisors (136492928).

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

135137152 is an equidigital number, since it uses as much as digits as its factorization.

135137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9458 counting only the distinct ones).

The product of its digits is 3150, while the sum is 28.

The square root of 135137152 is about 11624.8506226962. The cubic root of 135137152 is about 513.1664486283.

Adding to 135137152 its reverse (251731531), we get a palindrome (386868683).

It can be divided in two parts, 1351 and 37152, that added together give a triangular number (38503 = T₂₇₇).

The spelling of 135137152 in words is "one hundred thirty-five million, one hundred thirty-seven thousand, one hundred fifty-two".