137709330 has 64 divisors (see below), whose sum is σ = 366512256. Its totient is φ = 32832000.

The previous prime is 137709307. The next prime is 137709331. The reversal of 137709330 is 33907731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 137709291 and 137709300.

It is not an unprimeable number, because it can be changed into a prime (137709331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16710 + ... + 23550.

It is an arithmetic number, because the mean of its divisors is an integer number (5726754).

Almost surely, 2^137709330 is an apocalyptic number.

137709330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137709330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183256128).

137709330 is an abundant number, since it is smaller than the sum of its proper divisors (228802926).

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

137709330 is a wasteful number, since it uses less digits than its factorization.

137709330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923.

The product of its (nonzero) digits is 11907, while the sum is 33.

The square root of 137709330 is about 11734.9618661502. The cubic root of 137709330 is about 516.4018487975.

The spelling of 137709330 in words is "one hundred thirty-seven million, seven hundred nine thousand, three hundred thirty".