137350944 has 96 divisors (see below), whose sum is σ = 410034240. Its totient is φ = 44706816.

The previous prime is 137350903. The next prime is 137350949. The reversal of 137350944 is 449053731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×137350944² = 37730563635382272, which contains 22 as substring.

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 = 137350899 and 137350908.

It is not an unprimeable number, because it can be changed into a prime (137350949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35304 + ... + 39000.

It is an arithmetic number, because the mean of its divisors is an integer number (4271190).

Almost surely, 2^137350944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137350944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205017120).

137350944 is an abundant number, since it is smaller than the sum of its proper divisors (272683296).

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

137350944 is a wasteful number, since it uses less digits than its factorization.

137350944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 137350944 is about 11719.6819069461. The cubic root of 137350944 is about 515.9534841790.

The spelling of 137350944 in words is "one hundred thirty-seven million, three hundred fifty thousand, nine hundred forty-four".