137850944 has 84 divisors (see below), whose sum is σ = 343765632. Its totient is φ = 53687040.

The previous prime is 137850941. The next prime is 137851001. The reversal of 137850944 is 449058731.

It is a super-4 number, since 4×137850944⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (137850941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52937 + ... + 55479.

It is an arithmetic number, because the mean of its divisors is an integer number (4092448).

Almost surely, 2^137850944 is an apocalyptic number.

137850944 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 137850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171882816).

137850944 is an abundant number, since it is smaller than the sum of its proper divisors (205914688).

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

137850944 is a wasteful number, since it uses less digits than its factorization.

137850944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 137850944 is about 11740.9941657425. The cubic root of 137850944 is about 516.5788028643.

The spelling of 137850944 in words is "one hundred thirty-seven million, eight hundred fifty thousand, nine hundred forty-four".