203135140 has 72 divisors (see below), whose sum is σ = 476297640. Its totient is φ = 72339456.

The previous prime is 203135131. The next prime is 203135147. The reversal of 203135140 is 41531302.

It can be written as a sum of positive squares in 12 ways, for example, as 135862336 + 67272804 = 11656^2 + 8202^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203135147) 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, 218196 + ... + 219124.

It is an arithmetic number, because the mean of its divisors is an integer number (6615245).

Almost surely, 2^203135140 is an apocalyptic number.

203135140 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 203135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238148820).

203135140 is an abundant number, since it is smaller than the sum of its proper divisors (273162500).

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

203135140 is a wasteful number, since it uses less digits than its factorization.

203135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 203135140 is about 14252.5485440324. The cubic root of 203135140 is about 587.8434533197.

Adding to 203135140 its reverse (41531302), we get a palindrome (244666442).

The spelling of 203135140 in words is "two hundred three million, one hundred thirty-five thousand, one hundred forty".