137242728 has 96 divisors (see below), whose sum is σ = 443505600. Its totient is φ = 39209184.

The previous prime is 137242727. The next prime is 137242747. The reversal of 137242728 is 827242731.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 137242692 and 137242701.

It is not an unprimeable number, because it can be changed into a prime (137242723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4101 + ... + 17067.

It is an arithmetic number, because the mean of its divisors is an integer number (4619850).

Almost surely, 2^137242728 is an apocalyptic number.

137242728 is a gapful number since it is divisible by the number (18) 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 137242728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221752800).

137242728 is an abundant number, since it is smaller than the sum of its proper divisors (306262872).

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

137242728 is a wasteful number, since it uses less digits than its factorization.

137242728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12996 (or 12979 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 137242728 is about 11715.0641483519. The cubic root of 137242728 is about 515.8179455103.

It can be divided in two parts, 1372 and 42728, that added together give a square (44100 = 210²).

The spelling of 137242728 in words is "one hundred thirty-seven million, two hundred forty-two thousand, seven hundred twenty-eight".