137027840 has 36 divisors (see below), whose sum is σ = 328227564. Its totient is φ = 54810624.

The previous prime is 137027833. The next prime is 137027851. The reversal of 137027840 is 48720731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79995136 + 57032704 = 8944^2 + 7552^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 137027797 and 137027806.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52247 + ... + 54806.

Almost surely, 2^137027840 is an apocalyptic number.

137027840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137027840 is an abundant number, since it is smaller than the sum of its proper divisors (191199724).

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

137027840 is an equidigital number, since it uses as much as digits as its factorization.

137027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107074 (or 107060 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 137027840 is about 11705.8891161671. The cubic root of 137027840 is about 515.5485906489.

The spelling of 137027840 in words is "one hundred thirty-seven million, twenty-seven thousand, eight hundred forty".