152819280 has 120 divisors (see below), whose sum is σ = 540277920. Its totient is φ = 38603520.

The previous prime is 152819269. The next prime is 152819297. The reversal of 152819280 is 82918251.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8095 + ... + 19265.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316).

Almost surely, 2^152819280 is an apocalyptic number.

152819280 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 152819280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270138960).

152819280 is an abundant number, since it is smaller than the sum of its proper divisors (387458640).

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

152819280 is a wasteful number, since it uses less digits than its factorization.

152819280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11200 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 152819280 is about 12362.0095453773. The cubic root of 152819280 is about 534.6374578176.

The spelling of 152819280 in words is "one hundred fifty-two million, eight hundred nineteen thousand, two hundred eighty".