137997945 has 32 divisors (see below), whose sum is σ = 246839040. Its totient is φ = 73146240.

The previous prime is 137997869. The next prime is 137997961. The reversal of 137997945 is 549799731.

It is a happy number.

It is not a de Polignac number, because 137997945 - 2¹⁷ = 137866873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137997891 and 137997900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19485 + ... + 25605.

It is an arithmetic number, because the mean of its divisors is an integer number (7713720).

Almost surely, 2^137997945 is an apocalyptic number.

137997945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137997945 is a deficient number, since it is larger than the sum of its proper divisors (108841095).

137997945 is a wasteful number, since it uses less digits than its factorization.

137997945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6296 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 54.

The square root of 137997945 is about 11747.2526575366. The cubic root of 137997945 is about 516.7623601224.

The spelling of 137997945 in words is "one hundred thirty-seven million, nine hundred ninety-seven thousand, nine hundred forty-five".