137303136 has 72 divisors (see below), whose sum is σ = 394004520. Its totient is φ = 45351936.

The previous prime is 137303119. The next prime is 137303143. The reversal of 137303136 is 631303731.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30435 + ... + 34653.

It is an arithmetic number, because the mean of its divisors is an integer number (5472285).

Almost surely, 2^137303136 is an apocalyptic number.

137303136 is a gapful number since it is divisible by the number (16) 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 137303136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197002260).

137303136 is an abundant number, since it is smaller than the sum of its proper divisors (256701384).

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

137303136 is a wasteful number, since it uses less digits than its factorization.

137303136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 137303136 is about 11717.6420836276. The cubic root of 137303136 is about 515.8936142673.

Adding to 137303136 its reverse (631303731), we get a palindrome (768606867).

The spelling of 137303136 in words is "one hundred thirty-seven million, three hundred three thousand, one hundred thirty-six".