137952016 has 10 divisors (see below), whose sum is σ = 267282062. Its totient is φ = 68976000.

The previous prime is 137952007. The next prime is 137952053. The reversal of 137952016 is 610259731.

137952016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 95961616 + 41990400 = 9796^2 + 6480^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4310985 + ... + 4311016.

Almost surely, 2^137952016 is an apocalyptic number.

137952016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137952016 is a deficient number, since it is larger than the sum of its proper divisors (129330046).

137952016 is an equidigital number, since it uses as much as digits as its factorization.

137952016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8622009 (or 8622003 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 137952016 is about 11745.2976122361. The cubic root of 137952016 is about 516.7050234907.

The spelling of 137952016 in words is "one hundred thirty-seven million, nine hundred fifty-two thousand, sixteen".