207148032 has 396 divisors, whose sum is σ = 779170080. Its totient is φ = 51757056.

The previous prime is 207148027. The next prime is 207148057. The reversal of 207148032 is 230841702.

It is a super-2 number, since 2×207148032² = 85820614322946048, which contains 22 as substring.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 207147987 and 207148005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10902519 + ... + 10902537.

Almost surely, 2^207148032 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 207148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389585040).

207148032 is an abundant number, since it is smaller than the sum of its proper divisors (572022048).

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

207148032 is a wasteful number, since it uses less digits than its factorization.

207148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 207148032 is about 14392.6381181492. The cubic root of 207148032 is about 591.6891477362.

Adding to 207148032 its reverse (230841702), we get a palindrome (437989734).

The spelling of 207148032 in words is "two hundred seven million, one hundred forty-eight thousand, thirty-two".