137740648 has 32 divisors (see below), whose sum is σ = 265426560. Its totient is φ = 66971520.

The previous prime is 137740619. The next prime is 137740711. The reversal of 137740648 is 846047731.

It is a super-3 number, since 3×137740648³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137740648.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 151411 + ... + 152317.

It is an arithmetic number, because the mean of its divisors is an integer number (8294580).

Almost surely, 2^137740648 is an apocalyptic number.

It is an amenable number.

137740648 is a deficient number, since it is larger than the sum of its proper divisors (127685912).

137740648 is a wasteful number, since it uses less digits than its factorization.

137740648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 137740648 is about 11736.2961789485. The cubic root of 137740648 is about 516.4409927133.

It can be divided in two parts, 1377 and 40648, that added together give a square (42025 = 205²).

The spelling of 137740648 in words is "one hundred thirty-seven million, seven hundred forty thousand, six hundred forty-eight".