135632120 has 128 divisors (see below), whose sum is σ = 354715200. Its totient is φ = 46227456.

The previous prime is 135632111. The next prime is 135632129. The reversal of 135632120 is 21236531.

It is an interprime number because it is at equal distance from previous prime (135632111) and next prime (135632129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135632129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592166 + ... + 592394.

Almost surely, 2^135632120 is an apocalyptic number.

135632120 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 135632120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177357600).

135632120 is an abundant number, since it is smaller than the sum of its proper divisors (219083080).

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

135632120 is a wasteful number, since it uses less digits than its factorization.

135632120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 135632120 is about 11646.1203840592. The cubic root of 135632120 is about 513.7922116302.

Adding to 135632120 its reverse (21236531), we get a palindrome (156868651).

The spelling of 135632120 in words is "one hundred thirty-five million, six hundred thirty-two thousand, one hundred twenty".