152560000 has 80 divisors (see below), whose sum is σ = 379987740. Its totient is φ = 60992000.

The previous prime is 152559983. The next prime is 152560003. The reversal of 152560000 is 65251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 152560000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152560003) 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 9 ways as a sum of consecutive naturals, for example, 79047 + ... + 80953.

Almost surely, 2^152560000 is an apocalyptic number.

152560000 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 152560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189993870).

152560000 is an abundant number, since it is smaller than the sum of its proper divisors (227427740).

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

152560000 is an frugal number, since it uses more digits than its factorization.

152560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 152560000 is about 12351.5181253156. The cubic root of 152560000 is about 534.3349234106.

The spelling of 152560000 in words is "one hundred fifty-two million, five hundred sixty thousand".