152611822080 has 240 divisors, whose sum is σ = 542825495784. Its totient is φ = 39596359680.

The previous prime is 152611822049. The next prime is 152611822081. The reversal of 152611822080 is 80228116251.

152611822080 is a `hidden beast` number, since 15 + 2 + 611 + 8 + 2 + 20 + 8 + 0 = 666.

152611822080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 132274780416 + 20337041664 = 363696^2 + 142608^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (152611822081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762970 + ... + 941990.

Almost surely, 2^152611822080 is an apocalyptic number.

152611822080 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 152611822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271412747892).

152611822080 is an abundant number, since it is smaller than the sum of its proper divisors (390213673704).

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

152611822080 is a wasteful number, since it uses less digits than its factorization.

152611822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179087 (or 179068 counting only the distinct ones).

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

The spelling of 152611822080 in words is "one hundred fifty-two billion, six hundred eleven million, eight hundred twenty-two thousand, eighty".