137748114 has 160 divisors (see below), whose sum is σ = 375196800. Its totient is φ = 37721376.

The previous prime is 137748109. The next prime is 137748131. The reversal of 137748114 is 411847731.

137748114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2055909 + ... + 2055975.

It is an arithmetic number, because the mean of its divisors is an integer number (2344980).

Almost surely, 2^137748114 is an apocalyptic number.

137748114 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 137748114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187598400).

137748114 is an abundant number, since it is smaller than the sum of its proper divisors (237448686).

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

137748114 is an equidigital number, since it uses as much as digits as its factorization.

137748114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 137748114 is about 11736.6142477292. The cubic root of 137748114 is about 516.4503234830.

The spelling of 137748114 in words is "one hundred thirty-seven million, seven hundred forty-eight thousand, one hundred fourteen".