135670752 has 144 divisors (see below), whose sum is σ = 444618720. Its totient is φ = 38439936.

The previous prime is 135670751. The next prime is 135670781. The reversal of 135670752 is 257076531.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135670751) 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 23 ways as a sum of consecutive naturals, for example, 348574 + ... + 348962.

It is an arithmetic number, because the mean of its divisors is an integer number (3087630).

Almost surely, 2^135670752 is an apocalyptic number.

135670752 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 135670752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222309360).

135670752 is an abundant number, since it is smaller than the sum of its proper divisors (308947968).

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

135670752 is a wasteful number, since it uses less digits than its factorization.

135670752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 135670752 is about 11647.7788440543. The cubic root of 135670752 is about 513.8409880226.

It can be divided in two parts, 13 and 5670752, that added together give a palindrome (5670765).

The spelling of 135670752 in words is "one hundred thirty-five million, six hundred seventy thousand, seven hundred fifty-two".