137640016 has 30 divisors (see below), whose sum is σ = 269155950. Its totient is φ = 68185728.

The previous prime is 137639987. The next prime is 137640029. The reversal of 137640016 is 610046731.

It can be written as a sum of positive squares in 3 ways, for example, as 12110400 + 125529616 = 3480^2 + 11204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 394210 + ... + 394558.

It is an arithmetic number, because the mean of its divisors is an integer number (8971865).

Almost surely, 2^137640016 is an apocalyptic number.

137640016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137640016 is a deficient number, since it is larger than the sum of its proper divisors (131515934).

137640016 is an equidigital number, since it uses as much as digits as its factorization.

137640016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 137640016 is about 11732.0081827452. The cubic root of 137640016 is about 516.3151931224.

Adding to 137640016 its reverse (610046731), we get a palindrome (747686747).

The spelling of 137640016 in words is "one hundred thirty-seven million, six hundred forty thousand, sixteen".