200151040 has 104 divisors (see below), whose sum is σ = 498340440. Its totient is φ = 77070336.

The previous prime is 200151031. The next prime is 200151041. The reversal of 200151040 is 40151002.

It can be written as a sum of positive squares in 4 ways, for example, as 9048064 + 191102976 = 3008^2 + 13824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 200151040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200151041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593752 + ... + 594088.

It is an arithmetic number, because the mean of its divisors is an integer number (4791735).

Almost surely, 2^200151040 is an apocalyptic number.

200151040 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 200151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249170220).

200151040 is an abundant number, since it is smaller than the sum of its proper divisors (298189400).

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

200151040 is an equidigital number, since it uses as much as digits as its factorization.

200151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 200151040 is about 14147.4746863177. The cubic root of 200151040 is about 584.9507251457.

The spelling of 200151040 in words is "two hundred million, one hundred fifty-one thousand, forty".