137957963 has 16 divisors (see below), whose sum is σ = 162957312. Its totient is φ = 115140000.

The previous prime is 137957957. The next prime is 137957969. The reversal of 137957963 is 369759731.

It is an interprime number because it is at equal distance from previous prime (137957957) and next prime (137957969).

It is a cyclic number.

It is not a de Polignac number, because 137957963 - 2⁸ = 137957707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137957969) 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 15 ways as a sum of consecutive naturals, for example, 24788 + ... + 29838.

It is an arithmetic number, because the mean of its divisors is an integer number (10184832).

Almost surely, 2^137957963 is an apocalyptic number.

137957963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

137957963 is a deficient number, since it is larger than the sum of its proper divisors (24999349).

137957963 is a wasteful number, since it uses less digits than its factorization.

137957963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266.

The product of its digits is 1071630, while the sum is 50.

The square root of 137957963 is about 11745.5507746551. The cubic root of 137957963 is about 516.7124482961.

The spelling of 137957963 in words is "one hundred thirty-seven million, nine hundred fifty-seven thousand, nine hundred sixty-three".