137565330 has 64 divisors (see below), whose sum is σ = 378604800. Its totient is φ = 31336704.

The previous prime is 137565313. The next prime is 137565341. The reversal of 137565330 is 33565731.

It is a junction number, because it is equal to n+sod(n) for n = 137565291 and 137565300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72352 + ... + 74228.

It is an arithmetic number, because the mean of its divisors is an integer number (5915700).

Almost surely, 2^137565330 is an apocalyptic number.

137565330 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 137565330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189302400).

137565330 is an abundant number, since it is smaller than the sum of its proper divisors (241039470).

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

137565330 is a wasteful number, since it uses less digits than its factorization.

137565330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243.

The product of its (nonzero) digits is 28350, while the sum is 33.

The square root of 137565330 is about 11728.8247493089. The cubic root of 137565330 is about 516.2217888580.

The spelling of 137565330 in words is "one hundred thirty-seven million, five hundred sixty-five thousand, three hundred thirty".