137802640 has 40 divisors (see below), whose sum is σ = 328213368. Its totient is φ = 53775360.

The previous prime is 137802601. The next prime is 137802647. The reversal of 137802640 is 46208731.

It can be written as a sum of positive squares in 4 ways, for example, as 3984016 + 133818624 = 1996^2 + 11568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (137802647) 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, 17727 + ... + 24286.

Almost surely, 2^137802640 is an apocalyptic number.

137802640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137802640 is an abundant number, since it is smaller than the sum of its proper divisors (190410728).

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

137802640 is a wasteful number, since it uses less digits than its factorization.

137802640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42067 (or 42061 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 137802640 is about 11738.9369195000. The cubic root of 137802640 is about 516.5184581256.

The spelling of 137802640 in words is "one hundred thirty-seven million, eight hundred two thousand, six hundred forty".