137787328 has 56 divisors (see below), whose sum is σ = 313631072. Its totient is φ = 58834944.

The previous prime is 137787317. The next prime is 137787337. The reversal of 137787328 is 823787731.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×137787328³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 204400 + ... + 205072.

Almost surely, 2^137787328 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 137787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156815536).

137787328 is an abundant number, since it is smaller than the sum of its proper divisors (175843744).

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

137787328 is an equidigital number, since it uses as much as digits as its factorization.

137787328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1139 counting only the distinct ones).

The product of its digits is 395136, while the sum is 46.

The square root of 137787328 is about 11738.2847128531. The cubic root of 137787328 is about 516.4993263596.

The spelling of 137787328 in words is "one hundred thirty-seven million, seven hundred eighty-seven thousand, three hundred twenty-eight".