135752960 has 144 divisors (see below), whose sum is σ = 377731200. Its totient is φ = 45785088.

The previous prime is 135752951. The next prime is 135752971. The reversal of 135752960 is 69257531.

It is a happy number.

It is a super-2 number, since 2×135752960² = 36857732297523200, 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, 976571 + ... + 976709.

Almost surely, 2^135752960 is an apocalyptic number.

135752960 is a gapful number since it is divisible by the number (10) 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 135752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188865600).

135752960 is an abundant number, since it is smaller than the sum of its proper divisors (241978240).

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

135752960 is a wasteful number, since it uses less digits than its factorization.

135752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 135752960 is about 11651.3072227969. The cubic root of 135752960 is about 513.9447522464.

The spelling of 135752960 in words is "one hundred thirty-five million, seven hundred fifty-two thousand, nine hundred sixty".