137162828 has 24 divisors (see below), whose sum is σ = 262244304. Its totient is φ = 62254400.

The previous prime is 137162827. The next prime is 137162833. The reversal of 137162828 is 828261731.

It is a junction number, because it is equal to n+sod(n) for n = 137162791 and 137162800.

It is not an unprimeable number, because it can be changed into a prime (137162821) 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, 34226 + ... + 38022.

It is an arithmetic number, because the mean of its divisors is an integer number (10926846).

Almost surely, 2^137162828 is an apocalyptic number.

It is an amenable number.

137162828 is a deficient number, since it is larger than the sum of its proper divisors (125081476).

137162828 is a wasteful number, since it uses less digits than its factorization.

137162828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4631 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 137162828 is about 11711.6535126343. The cubic root of 137162828 is about 515.7178264123.

The spelling of 137162828 in words is "one hundred thirty-seven million, one hundred sixty-two thousand, eight hundred twenty-eight".