137577049 has 8 divisors (see below), whose sum is σ = 139409928. Its totient is φ = 135753600.

The previous prime is 137577031. The next prime is 137577067. The reversal of 137577049 is 940775731.

It is an interprime number because it is at equal distance from previous prime (137577031) and next prime (137577067).

It can be written as a sum of positive squares in 4 ways, for example, as 23941449 + 113635600 = 4893^2 + 10660^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137577049 - 2⁷ = 137576921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137576996 and 137577014.

It is not an unprimeable number, because it can be changed into a prime (137577079) 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 7 ways as a sum of consecutive naturals, for example, 29869 + ... + 34165.

It is an arithmetic number, because the mean of its divisors is an integer number (17426241).

Almost surely, 2^137577049 is an apocalyptic number.

It is an amenable number.

137577049 is a deficient number, since it is larger than the sum of its proper divisors (1832879).

137577049 is a wasteful number, since it uses less digits than its factorization.

137577049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715.

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 137577049 is about 11729.3243198404. The cubic root of 137577049 is about 516.2364471816.

The spelling of 137577049 in words is "one hundred thirty-seven million, five hundred seventy-seven thousand, forty-nine".