137233314 has 48 divisors (see below), whose sum is σ = 320654880. Its totient is φ = 42275520.

The previous prime is 137233303. The next prime is 137233319. The reversal of 137233314 is 413332731.

It is not an unprimeable number, because it can be changed into a prime (137233319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9129 + ... + 18915.

It is an arithmetic number, because the mean of its divisors is an integer number (6680310).

Almost surely, 2^137233314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137233314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160327440).

137233314 is an abundant number, since it is smaller than the sum of its proper divisors (183421566).

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

137233314 is a wasteful number, since it uses less digits than its factorization.

137233314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9855 (or 9852 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 137233314 is about 11714.6623510881. The cubic root of 137233314 is about 515.8061512699.

It can be divided in two parts, 13 and 7233314, that added together give a palindrome (7233327).

The spelling of 137233314 in words is "one hundred thirty-seven million, two hundred thirty-three thousand, three hundred fourteen".