135013152 has 24 divisors (see below), whose sum is σ = 354409776. Its totient is φ = 45004352.

The previous prime is 135013147. The next prime is 135013157. The reversal of 135013152 is 251310531.

It is an interprime number because it is at equal distance from previous prime (135013147) and next prime (135013157).

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (135013157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 703098 + ... + 703289.

It is an arithmetic number, because the mean of its divisors is an integer number (14767074).

Almost surely, 2^135013152 is an apocalyptic number.

135013152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135013152 is an abundant number, since it is smaller than the sum of its proper divisors (219396624).

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

135013152 is a wasteful number, since it uses less digits than its factorization.

135013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406400 (or 1406392 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 135013152 is about 11619.5159968047. The cubic root of 135013152 is about 513.0094424277.

Adding to 135013152 its reverse (251310531), we get a palindrome (386323683).

It can be divided in two parts, 13501 and 3152, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 135013152 in words is "one hundred thirty-five million, thirteen thousand, one hundred fifty-two".