137622048 has 48 divisors (see below), whose sum is σ = 365006880. Its totient is φ = 45398016.

The previous prime is 137621999. The next prime is 137622049. The reversal of 137622048 is 840226731.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (137622049) 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, 1923 + ... + 16701.

It is an arithmetic number, because the mean of its divisors is an integer number (7604310).

Almost surely, 2^137622048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137622048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182503440).

137622048 is an abundant number, since it is smaller than the sum of its proper divisors (227384832).

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

137622048 is a wasteful number, since it uses less digits than its factorization.

137622048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14889 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 137622048 is about 11731.2423894488. The cubic root of 137622048 is about 516.2927249590.

Adding to 137622048 its reverse (840226731), we get a palindrome (977848779).

The spelling of 137622048 in words is "one hundred thirty-seven million, six hundred twenty-two thousand, forty-eight".