137953971 has 12 divisors (see below), whose sum is σ = 204127560. Its totient is φ = 89725920.

The previous prime is 137953969. The next prime is 137953973. The reversal of 137953971 is 179359731.

It is an interprime number because it is at equal distance from previous prime (137953969) and next prime (137953973).

It is not a de Polignac number, because 137953971 - 2¹ = 137953969 is a prime.

It is a super-2 number, since 2×137953971² = 38062596229337682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137953973) 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 11 ways as a sum of consecutive naturals, for example, 186561 + ... + 187298.

It is an arithmetic number, because the mean of its divisors is an integer number (17010630).

Almost surely, 2^137953971 is an apocalyptic number.

137953971 is a deficient number, since it is larger than the sum of its proper divisors (66173589).

137953971 is a wasteful number, since it uses less digits than its factorization.

137953971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373906 (or 373903 counting only the distinct ones).

The product of its digits is 178605, while the sum is 45.

The square root of 137953971 is about 11745.3808367375. The cubic root of 137953971 is about 516.7074643238.

It can be divided in two parts, 13795 and 3971, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 137953971 in words is "one hundred thirty-seven million, nine hundred fifty-three thousand, nine hundred seventy-one".