152180800 has 84 divisors (see below), whose sum is σ = 377007120. Its totient is φ = 60459520.

The previous prime is 152180797. The next prime is 152180801. The reversal of 152180800 is 8081251.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (152180801) 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 11 ways as a sum of consecutive naturals, for example, 362991 + ... + 363409.

It is an arithmetic number, because the mean of its divisors is an integer number (4488180).

Almost surely, 2^152180800 is an apocalyptic number.

152180800 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 152180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188503560).

152180800 is an abundant number, since it is smaller than the sum of its proper divisors (224826320).

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

152180800 is a wasteful number, since it uses less digits than its factorization.

152180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 152180800 is about 12336.1582350422. The cubic root of 152180800 is about 533.8918454718.

The spelling of 152180800 in words is "one hundred fifty-two million, one hundred eighty thousand, eight hundred".