152512220 has 48 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 52048704.

The previous prime is 152512201. The next prime is 152512231. The reversal of 152512220 is 22215251.

It is a happy number.

152512220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×152512220³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152512192 and 152512201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29381 + ... + 34179.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2^152512220 is an apocalyptic number.

152512220 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 152512220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

152512220 is an abundant number, since it is smaller than the sum of its proper divisors (215206180).

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

152512220 is a wasteful number, since it uses less digits than its factorization.

152512220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 152512220 is about 12349.5837986549. The cubic root of 152512220 is about 534.2791351122.

Adding to 152512220 its reverse (22215251), we get a palindrome (174727471).

It can be divided in two parts, 15251 and 2220, that added together give a palindrome (17471).

The spelling of 152512220 in words is "one hundred fifty-two million, five hundred twelve thousand, two hundred twenty".