152137728 has 78 divisors (see below), whose sum is σ = 439561824. Its totient is φ = 50700288.

The previous prime is 152137723. The next prime is 152137759. The reversal of 152137728 is 827731251.

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

It is a junction number, because it is equal to n+sod(n) for n = 152137692 and 152137701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152137723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34801 + ... + 38927.

It is an arithmetic number, because the mean of its divisors is an integer number (5635408).

Almost surely, 2^152137728 is an apocalyptic number.

152137728 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 152137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219780912).

152137728 is an abundant number, since it is smaller than the sum of its proper divisors (287424096).

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

152137728 is an equidigital number, since it uses as much as digits as its factorization.

152137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4132 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 152137728 is about 12334.4123491960. The cubic root of 152137728 is about 533.8414712690.

Adding to 152137728 its reverse (827731251), we get a palindrome (979868979).

The spelling of 152137728 in words is "one hundred fifty-two million, one hundred thirty-seven thousand, seven hundred twenty-eight".