137976971 has 8 divisors (see below), whose sum is σ = 152073264. Its totient is φ = 124139520.

The previous prime is 137976961. The next prime is 137977039. The reversal of 137976971 is 179679731.

It is a happy number.

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 137976971 - 2⁶ = 137976907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137976911) 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, 63590 + ... + 65723.

It is an arithmetic number, because the mean of its divisors is an integer number (19009158).

Almost surely, 2^137976971 is an apocalyptic number.

137976971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137976971 is a deficient number, since it is larger than the sum of its proper divisors (14096293).

137976971 is a wasteful number, since it uses less digits than its factorization.

137976971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129421.

The product of its digits is 500094, while the sum is 50.

The square root of 137976971 is about 11746.3599042427. The cubic root of 137976971 is about 516.7361782762.

The spelling of 137976971 in words is "one hundred thirty-seven million, nine hundred seventy-six thousand, nine hundred seventy-one".