137435340200 has 48 divisors (see below), whose sum is σ = 319665088860. Its totient is φ = 54952128000.

The previous prime is 137435340137. The next prime is 137435340253. The reversal of 137435340200 is 2043534731.

It can be written as a sum of positive squares in 6 ways, for example, as 14771485444 + 122663854756 = 121538^2 + 350234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367910 + ... + 640490.

Almost surely, 2^137435340200 is an apocalyptic number.

137435340200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137435340200 is an abundant number, since it is smaller than the sum of its proper divisors (182229748660).

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

137435340200 is a wasteful number, since it uses less digits than its factorization.

137435340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275118 (or 275109 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

Adding to 137435340200 its reverse (2043534731), we get a palindrome (139478874931).

The spelling of 137435340200 in words is "one hundred thirty-seven billion, four hundred thirty-five million, three hundred forty thousand, two hundred".