20135520 has 192 divisors, whose sum is σ = 72576000. Its totient is φ = 5211648.

The previous prime is 20135513. The next prime is 20135537. The reversal of 20135520 is 2553102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20135493 and 20135502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254841 + ... + 254919.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^20135520 is an apocalyptic number.

20135520 is a gapful number since it is divisible by the number (20) 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 20135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

20135520 is an abundant number, since it is smaller than the sum of its proper divisors (52440480).

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

20135520 is a wasteful number, since it uses less digits than its factorization.

20135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20135520 is about 4487.2619714031. The cubic root of 20135520 is about 272.0534785275.

Adding to 20135520 its reverse (2553102), we get a palindrome (22688622).

It can be divided in two parts, 201 and 35520, that added together give a square (35721 = 189²).

The spelling of 20135520 in words is "twenty million, one hundred thirty-five thousand, five hundred twenty".