137507328 has 320 divisors, whose sum is σ = 491040000. Its totient is φ = 37933056.

The previous prime is 137507291. The next prime is 137507371. The reversal of 137507328 is 823705731.

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 = 137507292 and 137507301.

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 31 ways as a sum of consecutive naturals, for example, 4741618 + ... + 4741646.

It is an arithmetic number, because the mean of its divisors is an integer number (1534500).

Almost surely, 2^137507328 is an apocalyptic number.

137507328 is a gapful number since it is divisible by the number (18) 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 137507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520000).

137507328 is an abundant number, since it is smaller than the sum of its proper divisors (353532672).

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

137507328 is an frugal number, since it uses more digits than its factorization.

137507328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 137507328 is about 11726.3518623654. The cubic root of 137507328 is about 516.1492267152.

The spelling of 137507328 in words is "one hundred thirty-seven million, five hundred seven thousand, three hundred twenty-eight".