137640040 has 32 divisors (see below), whose sum is σ = 313939080. Its totient is φ = 54300672.

The previous prime is 137640029. The next prime is 137640049. The reversal of 137640040 is 40046731.

It can be written as a sum of positive squares in 4 ways, for example, as 65966884 + 71673156 = 8122^2 + 8466^2 .

It is a super-2 number, since 2×137640040² = 37889561222403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137639987 and 137640014.

It is not an unprimeable number, because it can be changed into a prime (137640049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20649 + ... + 26488.

Almost surely, 2^137640040 is an apocalyptic number.

137640040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137640040 is an abundant number, since it is smaller than the sum of its proper divisors (176299040).

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

137640040 is a wasteful number, since it uses less digits than its factorization.

137640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47221 (or 47217 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 137640040 is about 11732.0092055879. The cubic root of 137640040 is about 516.3152231320.

Adding to 137640040 its reverse (40046731), we get a palindrome (177686771).

The spelling of 137640040 in words is "one hundred thirty-seven million, six hundred forty thousand, forty".