137628647 has 8 divisors (see below), whose sum is σ = 156016560. Its totient is φ = 120355200.

The previous prime is 137628629. The next prime is 137628671. The reversal of 137628647 is 746826731.

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 137628647 - 2¹² = 137624551 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137628598 and 137628607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137628347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278354 + ... + 278847.

It is an arithmetic number, because the mean of its divisors is an integer number (19502070).

Almost surely, 2^137628647 is an apocalyptic number.

137628647 is a deficient number, since it is larger than the sum of its proper divisors (18387913).

137628647 is a wasteful number, since it uses less digits than its factorization.

137628647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557233.

The product of its digits is 338688, while the sum is 44.

The square root of 137628647 is about 11731.5236435853. The cubic root of 137628647 is about 516.3009769343.

The spelling of 137628647 in words is "one hundred thirty-seven million, six hundred twenty-eight thousand, six hundred forty-seven".