135625152 has 112 divisors (see below), whose sum is σ = 392696192. Its totient is φ = 41057280.

The previous prime is 135625111. The next prime is 135625159. The reversal of 135625152 is 251526531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135625159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166827 + ... + 167637.

It is an arithmetic number, because the mean of its divisors is an integer number (3506216).

Almost surely, 2^135625152 is an apocalyptic number.

135625152 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 135625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196348096).

135625152 is an abundant number, since it is smaller than the sum of its proper divisors (257071040).

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

135625152 is a wasteful number, since it uses less digits than its factorization.

135625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 896 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 135625152 is about 11645.8212247999. The cubic root of 135625152 is about 513.7834129144.

The spelling of 135625152 in words is "one hundred thirty-five million, six hundred twenty-five thousand, one hundred fifty-two".