137482180 has 48 divisors (see below), whose sum is σ = 322305984. Its totient is φ = 48827520.

The previous prime is 137482171. The next prime is 137482193. The reversal of 137482180 is 81284731.

It is a happy number.

It is a super-3 number, since 3×137482180³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2194 + ... + 16726.

It is an arithmetic number, because the mean of its divisors is an integer number (6714708).

Almost surely, 2^137482180 is an apocalyptic number.

137482180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137482180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161152992).

137482180 is an abundant number, since it is smaller than the sum of its proper divisors (184823804).

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

137482180 is a wasteful number, since it uses less digits than its factorization.

137482180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596 (or 14594 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 137482180 is about 11725.2795275848. The cubic root of 137482180 is about 516.1177595144.

The spelling of 137482180 in words is "one hundred thirty-seven million, four hundred eighty-two thousand, one hundred eighty".