135497952 has 72 divisors (see below), whose sum is σ = 389011896. Its totient is φ = 44733696.

The previous prime is 135497941. The next prime is 135497953. The reversal of 135497952 is 259794531.

It is a happy number.

135497952 is a `hidden beast` number, since 13 + 549 + 7 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 135497898 and 135497907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135497953) 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, 28618 + ... + 33014.

It is an arithmetic number, because the mean of its divisors is an integer number (5402943).

Almost surely, 2^135497952 is an apocalyptic number.

135497952 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 135497952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194505948).

135497952 is an abundant number, since it is smaller than the sum of its proper divisors (253513944).

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

135497952 is a wasteful number, since it uses less digits than its factorization.

135497952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4509 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 135497952 is about 11640.3587573580. The cubic root of 135497952 is about 513.6227404261.

The spelling of 135497952 in words is "one hundred thirty-five million, four hundred ninety-seven thousand, nine hundred fifty-two".