21134522000 has 80 divisors (see below), whose sum is σ = 51803676912. Its totient is φ = 8337945600.

The previous prime is 21134521987. The next prime is 21134522021. The reversal of 21134522000 is 22543112.

It can be written as a sum of positive squares in 8 ways, for example, as 5153516944 + 15981005056 = 71788^2 + 126416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73622 + ... + 218378.

Almost surely, 2^21134522000 is an apocalyptic number.

21134522000 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 21134522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25901838456).

21134522000 is an abundant number, since it is smaller than the sum of its proper divisors (30669154912).

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

21134522000 is a wasteful number, since it uses less digits than its factorization.

21134522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144853 (or 144837 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 21134522000 in words is "twenty-one billion, one hundred thirty-four million, five hundred twenty-two thousand".