137715144 has 96 divisors (see below), whose sum is σ = 407050560. Its totient is φ = 38033280.

The previous prime is 137715143. The next prime is 137715161. The reversal of 137715144 is 441517731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137715143) 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 23 ways as a sum of consecutive naturals, for example, 161022 + ... + 161874.

It is an arithmetic number, because the mean of its divisors is an integer number (4240110).

Almost surely, 2^137715144 is an apocalyptic number.

137715144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137715144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203525280).

137715144 is an abundant number, since it is smaller than the sum of its proper divisors (269335416).

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

137715144 is a wasteful number, since it uses less digits than its factorization.

137715144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 896 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 137715144 is about 11735.2095848349. The cubic root of 137715144 is about 516.4091160807.

It can be divided in two parts, 13771 and 5144, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 137715144 in words is "one hundred thirty-seven million, seven hundred fifteen thousand, one hundred forty-four".