152514828 has 72 divisors (see below), whose sum is σ = 400916880. Its totient is φ = 48827520.

The previous prime is 152514827. The next prime is 152514833. The reversal of 152514828 is 828415251.

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 = 152514792 and 152514801.

It is not an unprimeable number, because it can be changed into a prime (152514821) 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 23 ways as a sum of consecutive naturals, for example, 362058 + ... + 362478.

It is an arithmetic number, because the mean of its divisors is an integer number (5568290).

Almost surely, 2^152514828 is an apocalyptic number.

152514828 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 152514828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200458440).

152514828 is an abundant number, since it is smaller than the sum of its proper divisors (248402052).

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

152514828 is a wasteful number, since it uses less digits than its factorization.

152514828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 802 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 152514828 is about 12349.6893888065. The cubic root of 152514828 is about 534.2821805338.

The spelling of 152514828 in words is "one hundred fifty-two million, five hundred fourteen thousand, eight hundred twenty-eight".