137972645 has 8 divisors (see below), whose sum is σ = 165733656. Its totient is φ = 110267136.

The previous prime is 137972641. The next prime is 137972647. The reversal of 137972645 is 546279731.

It can be written as a sum of positive squares in 4 ways, for example, as 90003169 + 47969476 = 9487^2 + 6926^2 .

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 137972645 - 2² = 137972641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137972596 and 137972605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137972641) 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, 8192 + ... + 18521.

It is an arithmetic number, because the mean of its divisors is an integer number (20716707).

Almost surely, 2^137972645 is an apocalyptic number.

It is an amenable number.

137972645 is a deficient number, since it is larger than the sum of its proper divisors (27761011).

137972645 is a wasteful number, since it uses less digits than its factorization.

137972645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27751.

The product of its digits is 317520, while the sum is 44.

The square root of 137972645 is about 11746.1757606465. The cubic root of 137972645 is about 516.7307778000.

The spelling of 137972645 in words is "one hundred thirty-seven million, nine hundred seventy-two thousand, six hundred forty-five".