137106144 has 144 divisors (see below), whose sum is σ = 455390208. Its totient is φ = 38313216.

The previous prime is 137106121. The next prime is 137106157. The reversal of 137106144 is 441601731.

It is a happy number.

137106144 is a `hidden beast` number, since 1 + 37 + 10 + 614 + 4 = 666.

137106144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94029 + ... + 95475.

It is an arithmetic number, because the mean of its divisors is an integer number (3162432).

Almost surely, 2^137106144 is an apocalyptic number.

137106144 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 137106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227695104).

137106144 is an abundant number, since it is smaller than the sum of its proper divisors (318284064).

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

137106144 is a wasteful number, since it uses less digits than its factorization.

137106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137106144 is about 11709.2332797669. The cubic root of 137106144 is about 515.6467746617.

Adding to 137106144 its reverse (441601731), we get a palindrome (578707875).

The spelling of 137106144 in words is "one hundred thirty-seven million, one hundred six thousand, one hundred forty-four".