137944506 has 48 divisors (see below), whose sum is σ = 324856224. Its totient is φ = 38930976.

The previous prime is 137944481. The next prime is 137944553. The reversal of 137944506 is 605449731.

137944506 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21576 + ... + 27228.

It is an arithmetic number, because the mean of its divisors is an integer number (6767838).

Almost surely, 2^137944506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137944506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162428112).

137944506 is an abundant number, since it is smaller than the sum of its proper divisors (186911718).

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

137944506 is a wasteful number, since it uses less digits than its factorization.

137944506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 137944506 is about 11744.9779054709. The cubic root of 137944506 is about 516.6956469812.

The spelling of 137944506 in words is "one hundred thirty-seven million, nine hundred forty-four thousand, five hundred six".