20135952 has 60 divisors (see below), whose sum is σ = 58451120. Its totient is φ = 6710688.

The previous prime is 20135923. The next prime is 20135959. The reversal of 20135952 is 25953102.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20135959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1299 + ... + 6477.

Almost surely, 2^20135952 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 20135952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29225560).

20135952 is an abundant number, since it is smaller than the sum of its proper divisors (38315168).

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

20135952 is an equidigital number, since it uses as much as digits as its factorization.

20135952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 20135952 is about 4487.3101074029. The cubic root of 20135952 is about 272.0554241152.

The spelling of 20135952 in words is "twenty million, one hundred thirty-five thousand, nine hundred fifty-two".