152768880 has 120 divisors (see below), whose sum is σ = 559718640. Its totient is φ = 37032960.

The previous prime is 152768849. The next prime is 152768951. The reversal of 152768880 is 88867251.

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 (45).

It is a congruent number.

It is an unprimeable number.

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, 1725 + ... + 17564.

It is an arithmetic number, because the mean of its divisors is an integer number (4664322).

Almost surely, 2^152768880 is an apocalyptic number.

152768880 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 152768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279859320).

152768880 is an abundant number, since it is smaller than the sum of its proper divisors (406949760).

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

152768880 is a wasteful number, since it uses less digits than its factorization.

152768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19319 (or 19310 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 152768880 is about 12359.9708737521. The cubic root of 152768880 is about 534.5786766423.

It can be divided in two parts, 1527 and 68880, that added together give a palindrome (70407).

The spelling of 152768880 in words is "one hundred fifty-two million, seven hundred sixty-eight thousand, eight hundred eighty".