137743520 has 96 divisors (see below), whose sum is σ = 349045200. Its totient is φ = 51183616.

The previous prime is 137743457. The next prime is 137743523. The reversal of 137743520 is 25347731.

137743520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 33131536 + 104611984 = 5756^2 + 10228^2 .

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

It is not an unprimeable number, because it can be changed into a prime (137743523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241796 + ... + 242364.

Almost surely, 2^137743520 is an apocalyptic number.

137743520 is a gapful number since it is divisible by the number (10) 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 137743520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174522600).

137743520 is an abundant number, since it is smaller than the sum of its proper divisors (211301680).

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

137743520 is a wasteful number, since it uses less digits than its factorization.

137743520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 137743520 is about 11736.4185337777. The cubic root of 137743520 is about 516.4445820876. Note that the first 3 decimals are identical.

The spelling of 137743520 in words is "one hundred thirty-seven million, seven hundred forty-three thousand, five hundred twenty".