135712052 has 48 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 55384032.

The previous prime is 135712043. The next prime is 135712061. The reversal of 135712052 is 250217531.

135712052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135712043) and next prime (135712061).

It is a super-2 number, since 2×135712052² = 36835522116101408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230903 + ... + 231489.

It is an arithmetic number, because the mean of its divisors is an integer number (5927040).

Almost surely, 2^135712052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135712052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

135712052 is an abundant number, since it is smaller than the sum of its proper divisors (148785868).

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

135712052 is a wasteful number, since it uses less digits than its factorization.

135712052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 135712052 is about 11649.5515793527. The cubic root of 135712052 is about 513.8931227666.

Adding to 135712052 its reverse (250217531), we get a palindrome (385929583).

The spelling of 135712052 in words is "one hundred thirty-five million, seven hundred twelve thousand, fifty-two".