137145344 has 132 divisors (see below), whose sum is σ = 336919824. Its totient is φ = 54632448.

The previous prime is 137145313. The next prime is 137145353. The reversal of 137145344 is 443541731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 137145344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2587622 + ... + 2587674.

Almost surely, 2^137145344 is an apocalyptic number.

137145344 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 137145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168459912).

137145344 is an abundant number, since it is smaller than the sum of its proper divisors (199774480).

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

137145344 is an equidigital number, since it uses as much as digits as its factorization.

137145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 81 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 137145344 is about 11710.9070528290. The cubic root of 137145344 is about 515.6959128133.

The spelling of 137145344 in words is "one hundred thirty-seven million, one hundred forty-five thousand, three hundred forty-four".