205957152 has 144 divisors (see below), whose sum is σ = 607134528. Its totient is φ = 66193920.

The previous prime is 205957127. The next prime is 205957181. The reversal of 205957152 is 251759502.

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

It is a super-2 number, since 2×205957152² = 84836696919902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1572127 + ... + 1572257.

It is an arithmetic number, because the mean of its divisors is an integer number (4216212).

Almost surely, 2^205957152 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 205957152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303567264).

205957152 is an abundant number, since it is smaller than the sum of its proper divisors (401177376).

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

205957152 is a wasteful number, since it uses less digits than its factorization.

205957152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 205957152 is about 14351.2073359700. The cubic root of 205957152 is about 590.5531076684.

The spelling of 205957152 in words is "two hundred five million, nine hundred fifty-seven thousand, one hundred fifty-two".