152229120 has 144 divisors (see below), whose sum is σ = 503314560. Its totient is φ = 39165952.

The previous prime is 152229109. The next prime is 152229131. The reversal of 152229120 is 21922251.

It is an interprime number because it is at equal distance from previous prime (152229109) and next prime (152229131).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 110677 + ... + 112043.

It is an arithmetic number, because the mean of its divisors is an integer number (3495240).

Almost surely, 2^152229120 is an apocalyptic number.

152229120 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 152229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251657280).

152229120 is an abundant number, since it is smaller than the sum of its proper divisors (351085440).

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

152229120 is a wasteful number, since it uses less digits than its factorization.

152229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 152229120 is about 12338.1165499439. The cubic root of 152229120 is about 533.9483460817.

It can be divided in two parts, 15222 and 9120, that added together give a palindrome (24342).

The spelling of 152229120 in words is "one hundred fifty-two million, two hundred twenty-nine thousand, one hundred twenty".