137728040 has 64 divisors (see below), whose sum is σ = 323136000. Its totient is φ = 52773120.

The previous prime is 137728039. The next prime is 137728043. The reversal of 137728040 is 40827731.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137727988 and 137728006.

It is not an unprimeable number, because it can be changed into a prime (137728043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134651 + ... + 135669.

It is an arithmetic number, because the mean of its divisors is an integer number (5049000).

Almost surely, 2^137728040 is an apocalyptic number.

137728040 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 137728040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000).

137728040 is an abundant number, since it is smaller than the sum of its proper divisors (185407960).

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

137728040 is a wasteful number, since it uses less digits than its factorization.

137728040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 137728040 is about 11735.7590295643. The cubic root of 137728040 is about 516.4252348698.

It can be divided in two parts, 13772 and 8040, that added together give a palindrome (21812).

The spelling of 137728040 in words is "one hundred thirty-seven million, seven hundred twenty-eight thousand, forty".