152813880 has 96 divisors (see below), whose sum is σ = 512703360. Its totient is φ = 39432960.

The previous prime is 152813861. The next prime is 152813917. The reversal of 152813880 is 88318251.

152813880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4314 + ... + 18006.

It is an arithmetic number, because the mean of its divisors is an integer number (5340660).

Almost surely, 2^152813880 is an apocalyptic number.

152813880 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 152813880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256351680).

152813880 is an abundant number, since it is smaller than the sum of its proper divisors (359889480).

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

152813880 is a wasteful number, since it uses less digits than its factorization.

152813880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13741 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 152813880 is about 12361.7911323562. The cubic root of 152813880 is about 534.6311604528.

The spelling of 152813880 in words is "one hundred fifty-two million, eight hundred thirteen thousand, eight hundred eighty".