137305950 has 48 divisors (see below), whose sum is σ = 344858880. Its totient is φ = 36148320.

The previous prime is 137305943. The next prime is 137305963. The reversal of 137305950 is 59503731.

It is a congruent number.

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, 6057 + ... + 17643.

It is an arithmetic number, because the mean of its divisors is an integer number (7184560).

Almost surely, 2^137305950 is an apocalyptic number.

137305950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137305950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172429440).

137305950 is an abundant number, since it is smaller than the sum of its proper divisors (207552930).

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

137305950 is a wasteful number, since it uses less digits than its factorization.

137305950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 137305950 is about 11717.7621583645. The cubic root of 137305950 is about 515.8971386216.

The spelling of 137305950 in words is "one hundred thirty-seven million, three hundred five thousand, nine hundred fifty".