207150000 has 120 divisors (see below), whose sum is σ = 669363408. Its totient is φ = 55200000.

The previous prime is 207149953. The next prime is 207150001. The reversal of 207150000 is 51702.

It is a happy number.

207150000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×207150000² = 85822245000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (207150001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149310 + ... + 150690.

Almost surely, 2^207150000 is an apocalyptic number.

207150000 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 207150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334681704).

207150000 is an abundant number, since it is smaller than the sum of its proper divisors (462213408).

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

207150000 is an equidigital number, since it uses as much as digits as its factorization.

207150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 207150000 is about 14392.7064862728. The cubic root of 207150000 is about 591.6910215018.

The spelling of 207150000 in words is "two hundred seven million, one hundred fifty thousand".