137521944 has 144 divisors (see below), whose sum is σ = 444927600. Its totient is φ = 37545984.

The previous prime is 137521927. The next prime is 137521961. The reversal of 137521944 is 449125731.

137521944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137521927) and next prime (137521961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137521899 and 137521908.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1417704 + ... + 1417800.

It is an arithmetic number, because the mean of its divisors is an integer number (3089775).

Almost surely, 2^137521944 is an apocalyptic number.

137521944 is a gapful number since it is divisible by the number (14) 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 137521944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222463800).

137521944 is an abundant number, since it is smaller than the sum of its proper divisors (307405656).

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

137521944 is a wasteful number, since it uses less digits than its factorization.

137521944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 138 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 137521944 is about 11726.9750575330. The cubic root of 137521944 is about 516.1675136675.

The spelling of 137521944 in words is "one hundred thirty-seven million, five hundred twenty-one thousand, nine hundred forty-four".