208148952 has 128 divisors (see below), whose sum is σ = 632966400. Its totient is φ = 56217600.

The previous prime is 208148917. The next prime is 208148999. The reversal of 208148952 is 259841802.

It is a self number, because there is not a number n which added to its sum of digits gives 208148952.

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, 84052 + ... + 86492.

It is an arithmetic number, because the mean of its divisors is an integer number (4945050).

Almost surely, 2^208148952 is an apocalyptic number.

208148952 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 208148952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316483200).

208148952 is an abundant number, since it is smaller than the sum of its proper divisors (424817448).

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

208148952 is a wasteful number, since it uses less digits than its factorization.

208148952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 208148952 is about 14427.3681591619. The cubic root of 208148952 is about 592.6406125350.

The spelling of 208148952 in words is "two hundred eight million, one hundred forty-eight thousand, nine hundred fifty-two".