137828560 has 20 divisors (see below), whose sum is σ = 320451588. Its totient is φ = 55131392.

The previous prime is 137828557. The next prime is 137828563. The reversal of 137828560 is 65828731.

It is an interprime number because it is at equal distance from previous prime (137828557) and next prime (137828563).

It can be written as a sum of positive squares in 2 ways, for example, as 53114944 + 84713616 = 7288^2 + 9204^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137828563) 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 3 ways as a sum of consecutive naturals, for example, 861349 + ... + 861508.

Almost surely, 2^137828560 is an apocalyptic number.

137828560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137828560 is an abundant number, since it is smaller than the sum of its proper divisors (182623028).

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

137828560 is a wasteful number, since it uses less digits than its factorization.

137828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722870 (or 1722864 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 137828560 is about 11740.0408857891. The cubic root of 137828560 is about 516.5508409573.

The spelling of 137828560 in words is "one hundred thirty-seven million, eight hundred twenty-eight thousand, five hundred sixty".