152022500 has 180 divisors, whose sum is σ = 415076508. Its totient is φ = 48384000.

The previous prime is 152022467. The next prime is 152022503. The reversal of 152022500 is 5220251.

It can be written as a sum of positive squares in 10 ways, for example, as 91431844 + 60590656 = 9562^2 + 7784^2 .

It is a super-2 number, since 2×152022500² = 46221681012500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152022503) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2082464 + ... + 2082536.

Almost surely, 2^152022500 is an apocalyptic number.

152022500 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 152022500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207538254).

152022500 is an abundant number, since it is smaller than the sum of its proper divisors (263054008).

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

152022500 is a wasteful number, since it uses less digits than its factorization.

152022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 152022500 is about 12329.7404676660. The cubic root of 152022500 is about 533.7066613562.

Adding to 152022500 its reverse (5220251), we get a palindrome (157242751).

The spelling of 152022500 in words is "one hundred fifty-two million, twenty-two thousand, five hundred".