137520328 has 64 divisors (see below), whose sum is σ = 298209600. Its totient is φ = 58798080.

The previous prime is 137520307. The next prime is 137520337. The reversal of 137520328 is 823025731.

137520328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137520328² = 37823681226455168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137520328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389400 + ... + 389752.

It is an arithmetic number, because the mean of its divisors is an integer number (4659525).

Almost surely, 2^137520328 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 137520328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149104800).

137520328 is an abundant number, since it is smaller than the sum of its proper divisors (160689272).

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

137520328 is a wasteful number, since it uses less digits than its factorization.

137520328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 137520328 is about 11726.9061563568. The cubic root of 137520328 is about 516.1654918569.

The spelling of 137520328 in words is "one hundred thirty-seven million, five hundred twenty thousand, three hundred twenty-eight".