137503104 has 64 divisors (see below), whose sum is σ = 377057280. Its totient is φ = 44352000.

The previous prime is 137503097. The next prime is 137503111. The reversal of 137503104 is 401305731.

137503104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137503097) and next prime (137503111).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6129 + ... + 17679.

It is an arithmetic number, because the mean of its divisors is an integer number (5891520).

Almost surely, 2^137503104 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 137503104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188528640).

137503104 is an abundant number, since it is smaller than the sum of its proper divisors (239554176).

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

137503104 is a wasteful number, since it uses less digits than its factorization.

137503104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11599 (or 11587 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 137503104 is about 11726.1717538163. The cubic root of 137503104 is about 516.1439415747.

Adding to 137503104 its reverse (401305731), we get a palindrome (538808835).

The spelling of 137503104 in words is "one hundred thirty-seven million, five hundred three thousand, one hundred four".