137003140 has 24 divisors (see below), whose sum is σ = 294725592. Its totient is φ = 53464320.

The previous prime is 137003137. The next prime is 137003159. The reversal of 137003140 is 41300731.

It can be written as a sum of positive squares in 4 ways, for example, as 11383876 + 125619264 = 3374^2 + 11208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82719 + ... + 84358.

It is an arithmetic number, because the mean of its divisors is an integer number (12280233).

Almost surely, 2^137003140 is an apocalyptic number.

137003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137003140 is an abundant number, since it is smaller than the sum of its proper divisors (157722452).

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

137003140 is a wasteful number, since it uses less digits than its factorization.

137003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167127 (or 167125 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 137003140 is about 11704.8340441033. The cubic root of 137003140 is about 515.5176119918.

Adding to 137003140 its reverse (41300731), we get a palindrome (178303871).

It can be divided in two parts, 13 and 7003140, that added together give a triangular number (7003153 = T₃₇₄₂).

The spelling of 137003140 in words is "one hundred thirty-seven million, three thousand, one hundred forty".