137742016 has 14 divisors (see below), whose sum is σ = 273331940. Its totient is φ = 68870976.

The previous prime is 137741999. The next prime is 137742019. The reversal of 137742016 is 610247731.

It is not an unprimeable number, because it can be changed into a prime (137742019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076046 + ... + 1076173.

It is an arithmetic number, because the mean of its divisors is an integer number (19523710).

Almost surely, 2^137742016 is an apocalyptic number.

137742016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137742016 is a deficient number, since it is larger than the sum of its proper divisors (135589924).

137742016 is an equidigital number, since it uses as much as digits as its factorization.

137742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152231 (or 2152221 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 137742016 is about 11736.3544595415. The cubic root of 137742016 is about 516.4427024215.

Adding to 137742016 its reverse (610247731), we get a palindrome (747989747).

The spelling of 137742016 in words is "one hundred thirty-seven million, seven hundred forty-two thousand, sixteen".