137949966 has 80 divisors (see below), whose sum is σ = 385418880. Its totient is φ = 35827920.

The previous prime is 137949961. The next prime is 137949979. The reversal of 137949966 is 669949731.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137949961) 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 39 ways as a sum of consecutive naturals, for example, 6945 + ... + 18003.

It is an arithmetic number, because the mean of its divisors is an integer number (4817736).

Almost surely, 2^137949966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137949966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192709440).

137949966 is an abundant number, since it is smaller than the sum of its proper divisors (247468914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137949966 is a wasteful number, since it uses less digits than its factorization.

137949966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11091 (or 11082 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 137949966 is about 11745.2103429441. The cubic root of 137949966 is about 516.7024640245.

The spelling of 137949966 in words is "one hundred thirty-seven million, nine hundred forty-nine thousand, nine hundred sixty-six".