137200049 has 6 divisors (see below), whose sum is σ = 159600114. Its totient is φ = 117600000.

The previous prime is 137200043. The next prime is 137200051. The reversal of 137200049 is 940002731.

It can be written as a sum of positive squares in only one way, i.e., 122323600 + 14876449 = 11060^2 + 3857^2 .

It is not a de Polignac number, because 137200049 - 2⁸ = 137199793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137200043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1399952 + ... + 1400049.

It is an arithmetic number, because the mean of its divisors is an integer number (26600019).

Almost surely, 2^137200049 is an apocalyptic number.

It is an amenable number.

137200049 is a deficient number, since it is larger than the sum of its proper divisors (22400065).

137200049 is an equidigital number, since it uses as much as digits as its factorization.

137200049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800015 (or 2800008 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 137200049 is about 11713.2424631269. The cubic root of 137200049 is about 515.7644712102.

The spelling of 137200049 in words is "one hundred thirty-seven million, two hundred thousand, forty-nine".