137982288 has 40 divisors (see below), whose sum is σ = 356896800. Its totient is φ = 45937024.

The previous prime is 137982283. The next prime is 137982289. The reversal of 137982288 is 882289731.

It is a super-2 number, since 2×137982288² = 38078223603429888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137982281) 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 7 ways as a sum of consecutive naturals, for example, 57823 + ... + 60161.

It is an arithmetic number, because the mean of its divisors is an integer number (8922420).

Almost surely, 2^137982288 is an apocalyptic number.

It is an amenable number.

137982288 is an abundant number, since it is smaller than the sum of its proper divisors (218914512).

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

137982288 is a wasteful number, since it uses less digits than its factorization.

137982288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3573 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 137982288 is about 11746.5862274961. The cubic root of 137982288 is about 516.7428157388.

The spelling of 137982288 in words is "one hundred thirty-seven million, nine hundred eighty-two thousand, two hundred eighty-eight".