137790049 has 16 divisors (see below), whose sum is σ = 151621200. Its totient is φ = 124637184.

The previous prime is 137790031. The next prime is 137790091. The reversal of 137790049 is 940097731.

It can be written as a sum of positive squares in 8 ways, for example, as 1904400 + 135885649 = 1380^2 + 11657^2 .

It is a cyclic number.

It is not a de Polignac number, because 137790049 - 2⁷ = 137789921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137789993 and 137790020.

It is not an unprimeable number, because it can be changed into a prime (137790349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136057 + ... + 137065.

It is an arithmetic number, because the mean of its divisors is an integer number (9476325).

Almost surely, 2^137790049 is an apocalyptic number.

It is an amenable number.

137790049 is a deficient number, since it is larger than the sum of its proper divisors (13831151).

137790049 is a wasteful number, since it uses less digits than its factorization.

137790049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332.

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 137790049 is about 11738.4006150753. The cubic root of 137790049 is about 516.5027262499.

The spelling of 137790049 in words is "one hundred thirty-seven million, seven hundred ninety thousand, forty-nine".