137272101 has 8 divisors (see below), whose sum is σ = 186923904. Its totient is φ = 89567520.

The previous prime is 137272099. The next prime is 137272103. The reversal of 137272101 is 101272731.

It is an interprime number because it is at equal distance from previous prime (137272099) and next prime (137272103).

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

It is not a de Polignac number, because 137272101 - 2¹ = 137272099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137272103) 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, 486640 + ... + 486921.

It is an arithmetic number, because the mean of its divisors is an integer number (23365488).

Almost surely, 2^137272101 is an apocalyptic number.

It is an amenable number.

137272101 is a deficient number, since it is larger than the sum of its proper divisors (49651803).

137272101 is an equidigital number, since it uses as much as digits as its factorization.

137272101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973611.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 137272101 is about 11716.3177235853. The cubic root of 137272101 is about 515.8547417277.

The spelling of 137272101 in words is "one hundred thirty-seven million, two hundred seventy-two thousand, one hundred one".