137352016 has 40 divisors (see below), whose sum is σ = 270468800. Its totient is φ = 67564800.

The previous prime is 137352011. The next prime is 137352023. The reversal of 137352016 is 610253731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137352011) 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 7 ways as a sum of consecutive naturals, for example, 335620 + ... + 336028.

It is an arithmetic number, because the mean of its divisors is an integer number (6761720).

Almost surely, 2^137352016 is an apocalyptic number.

137352016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137352016 is a deficient number, since it is larger than the sum of its proper divisors (133116784).

137352016 is a wasteful number, since it uses less digits than its factorization.

137352016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 137352016 is about 11719.7276418866. The cubic root of 137352016 is about 515.9548264842.

It can be divided in two parts, 13735 and 2016, that added together give a palindrome (15751).

The spelling of 137352016 in words is "one hundred thirty-seven million, three hundred fifty-two thousand, sixteen".