137978667 has 16 divisors (see below), whose sum is σ = 204597760. Its totient is φ = 91902600.

The previous prime is 137978657. The next prime is 137978671. The reversal of 137978667 is 766879731.

It is not a de Polignac number, because 137978667 - 2⁷ = 137978539 is a prime.

It is a super-3 number, since 3×137978667³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137978657) 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 15 ways as a sum of consecutive naturals, for example, 48042 + ... + 50832.

It is an arithmetic number, because the mean of its divisors is an integer number (12787360).

Almost surely, 2^137978667 is an apocalyptic number.

137978667 is a deficient number, since it is larger than the sum of its proper divisors (66619093).

137978667 is a wasteful number, since it uses less digits than its factorization.

137978667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4625 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 137978667 is about 11746.4320965985. The cubic root of 137978667 is about 516.7382954918.

The spelling of 137978667 in words is "one hundred thirty-seven million, nine hundred seventy-eight thousand, six hundred sixty-seven".