21349152 has 144 divisors (see below), whose sum is σ = 69346368. Its totient is φ = 6167040.

The previous prime is 21349117. The next prime is 21349183. The reversal of 21349152 is 25194312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21349152² = 911572582238208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72718 + ... + 73010.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 2^21349152 is an apocalyptic number.

21349152 is a gapful number since it is divisible by the number (22) 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 21349152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673184).

21349152 is an abundant number, since it is smaller than the sum of its proper divisors (47997216).

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

21349152 is a wasteful number, since it uses less digits than its factorization.

21349152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 21349152 is about 4620.5142570930. The cubic root of 21349152 is about 277.4130431219.

The spelling of 21349152 in words is "twenty-one million, three hundred forty-nine thousand, one hundred fifty-two".