137482848 has 72 divisors (see below), whose sum is σ = 398387808. Its totient is φ = 44957952.

The previous prime is 137482847. The next prime is 137482883. The reversal of 137482848 is 848284731.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×137482848² = 37803066988382208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137482847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10761 + ... + 19767.

It is an arithmetic number, because the mean of its divisors is an integer number (5533164).

Almost surely, 2^137482848 is an apocalyptic number.

137482848 is a gapful number since it is divisible by the number (18) 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 137482848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199193904).

137482848 is an abundant number, since it is smaller than the sum of its proper divisors (260904960).

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

137482848 is a wasteful number, since it uses less digits than its factorization.

137482848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076 (or 9065 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 137482848 is about 11725.3080130119. The cubic root of 137482848 is about 516.1185954193.

The spelling of 137482848 in words is "one hundred thirty-seven million, four hundred eighty-two thousand, eight hundred forty-eight".