137542314 has 128 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 35223552.

The previous prime is 137542313. The next prime is 137542333. The reversal of 137542314 is 413245731.

It is a happy number.

137542314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137542313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1417914 + ... + 1418010.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2^137542314 is an apocalyptic number.

137542314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137542314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

137542314 is an abundant number, since it is smaller than the sum of its proper divisors (218080086).

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

137542314 is a wasteful number, since it uses less digits than its factorization.

137542314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 137542314 is about 11727.8435357912. The cubic root of 137542314 is about 516.1929976323.

The spelling of 137542314 in words is "one hundred thirty-seven million, five hundred forty-two thousand, three hundred fourteen".