137442144 has 192 divisors, whose sum is σ = 446777856. Its totient is φ = 36102144.

The previous prime is 137442131. The next prime is 137442157. The reversal of 137442144 is 441244731.

It is an interprime number because it is at equal distance from previous prime (137442131) and next prime (137442157).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605359 + ... + 605585.

It is an arithmetic number, because the mean of its divisors is an integer number (2326968).

Almost surely, 2^137442144 is an apocalyptic number.

137442144 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 137442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223388928).

137442144 is an abundant number, since it is smaller than the sum of its proper divisors (309335712).

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

137442144 is a wasteful number, since it uses less digits than its factorization.

137442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 137442144 is about 11723.5721518657. The cubic root of 137442144 is about 516.0676553319.

Adding to 137442144 its reverse (441244731), we get a palindrome (578686875).

The spelling of 137442144 in words is "one hundred thirty-seven million, four hundred forty-two thousand, one hundred forty-four".