152042220 has 144 divisors (see below), whose sum is σ = 532834848. Its totient is φ = 34682880.

The previous prime is 152042201. The next prime is 152042239. The reversal of 152042220 is 22240251.

It is an interprime number because it is at equal distance from previous prime (152042201) and next prime (152042239).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152042193 and 152042202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31402 + ... + 35918.

It is an arithmetic number, because the mean of its divisors is an integer number (3700242).

Almost surely, 2^152042220 is an apocalyptic number.

152042220 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 152042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266417424).

152042220 is an abundant number, since it is smaller than the sum of its proper divisors (380792628).

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

152042220 is a wasteful number, since it uses less digits than its factorization.

152042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4555 counting only the distinct ones).

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

The square root of 152042220 is about 12330.5401341547. The cubic root of 152042220 is about 533.7297374147.

Adding to 152042220 its reverse (22240251), we get a palindrome (174282471).

It can be divided in two parts, 15204 and 2220, that added together give a square (17424 = 132²).

The spelling of 152042220 in words is "one hundred fifty-two million, forty-two thousand, two hundred twenty".