137444480 has 128 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 51093504.

The previous prime is 137444479. The next prime is 137444491. The reversal of 137444480 is 84444731.

137444480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 137444480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082177 + ... + 1082303.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2^137444480 is an apocalyptic number.

137444480 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 137444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

137444480 is an abundant number, since it is smaller than the sum of its proper divisors (215067520).

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

137444480 is a wasteful number, since it uses less digits than its factorization.

137444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 137444480 is about 11723.6717797796. The cubic root of 137444480 is about 516.0705790523.

It can be divided in two parts, 1374 and 44480, that added together give a palindrome (45854).

The spelling of 137444480 in words is "one hundred thirty-seven million, four hundred forty-four thousand, four hundred eighty".