135253524 has 144 divisors (see below), whose sum is σ = 391160448. Its totient is φ = 36191232.

The previous prime is 135253519. The next prime is 135253529. The reversal of 135253524 is 425352531.

It is an interprime number because it is at equal distance from previous prime (135253519) and next prime (135253529).

It is a junction number, because it is equal to n+sod(n) for n = 135253491 and 135253500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135253529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987184 + ... + 987320.

It is an arithmetic number, because the mean of its divisors is an integer number (2716392).

Almost surely, 2^135253524 is an apocalyptic number.

135253524 is a gapful number since it is divisible by the number (14) 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 135253524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195580224).

135253524 is an abundant number, since it is smaller than the sum of its proper divisors (255906924).

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

135253524 is a wasteful number, since it uses less digits than its factorization.

135253524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 135253524 is about 11629.8548572198. The cubic root of 135253524 is about 513.3137090753.

The spelling of 135253524 in words is "one hundred thirty-five million, two hundred fifty-three thousand, five hundred twenty-four".