137387848 has 32 divisors (see below), whose sum is σ = 286990200. Its totient is φ = 61221888.

The previous prime is 137387837. The next prime is 137387849. The reversal of 137387848 is 848783731.

It can be written as a sum of positive squares in 4 ways, for example, as 113592964 + 23794884 = 10658^2 + 4878^2 .

It is a super-4 number, since 4×137387848⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (137387849) 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 in 7 ways as a sum of consecutive naturals, for example, 19761 + ... + 25792.

Almost surely, 2^137387848 is an apocalyptic number.

It is an amenable number.

137387848 is an abundant number, since it is smaller than the sum of its proper divisors (149602352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137387848 is a wasteful number, since it uses less digits than its factorization.

137387848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45601 (or 45597 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The square root of 137387848 is about 11721.2562466657. The cubic root of 137387848 is about 515.9996895217. Note that the first 3 decimals are identical.

The spelling of 137387848 in words is "one hundred thirty-seven million, three hundred eighty-seven thousand, eight hundred forty-eight".