152220240 has 120 divisors (see below), whose sum is σ = 520982280. Its totient is φ = 39816192.

The previous prime is 152220221. The next prime is 152220241. The reversal of 152220240 is 42022251.

152220240 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 25522704 + 126697536 = 5052^2 + 11256^2 .

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152220241) 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, 36166 + ... + 40154.

It is an arithmetic number, because the mean of its divisors is an integer number (4341519).

Almost surely, 2^152220240 is an apocalyptic number.

152220240 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 152220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260491140).

152220240 is an abundant number, since it is smaller than the sum of its proper divisors (368762040).

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

152220240 is a wasteful number, since it uses less digits than its factorization.

152220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 152220240 is about 12337.7566842599. The cubic root of 152220240 is about 533.9379635883.

Adding to 152220240 its reverse (42022251), we get a palindrome (194242491).

The spelling of 152220240 in words is "one hundred fifty-two million, two hundred twenty thousand, two hundred forty".