137724440 has 32 divisors (see below), whose sum is σ = 354149280. Its totient is φ = 47219712.

The previous prime is 137724439. The next prime is 137724541. The reversal of 137724440 is 44427731.

It is a junction number, because it is equal to n+sod(n) for n = 137724397 and 137724406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245657 + ... + 246216.

It is an arithmetic number, because the mean of its divisors is an integer number (11067165).

Almost surely, 2^137724440 is an apocalyptic number.

137724440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137724440 is an abundant number, since it is smaller than the sum of its proper divisors (216424840).

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

137724440 is a wasteful number, since it uses less digits than its factorization.

137724440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491891 (or 491887 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 137724440 is about 11735.6056511797. The cubic root of 137724440 is about 516.4207353091.

The spelling of 137724440 in words is "one hundred thirty-seven million, seven hundred twenty-four thousand, four hundred forty".