137946963 has 32 divisors (see below), whose sum is σ = 230072832. Its totient is φ = 71424000.

The previous prime is 137946961. The next prime is 137946971. The reversal of 137946963 is 369649731.

137946963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137946963 - 2¹ = 137946961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137946961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85363 + ... + 86963.

It is an arithmetic number, because the mean of its divisors is an integer number (7189776).

Almost surely, 2^137946963 is an apocalyptic number.

137946963 is a deficient number, since it is larger than the sum of its proper divisors (92125869).

137946963 is a wasteful number, since it uses less digits than its factorization.

137946963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995.

The product of its digits is 734832, while the sum is 48.

The square root of 137946963 is about 11745.0825029031. The cubic root of 137946963 is about 516.6987146730.

The spelling of 137946963 in words is "one hundred thirty-seven million, nine hundred forty-six thousand, nine hundred sixty-three".