152522500 has 135 divisors (see below), whose sum is σ = 381175641. Its totient is φ = 53352000.

The previous prime is 152522497. The next prime is 152522537. The reversal of 152522500 is 5225251.

The square root of 152522500 is 12350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 150651076 + 1871424 = 12274^2 + 1368^2 .

It is a super-2 number, since 2×152522500² = 46526226012500000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8027491 + ... + 8027509.

Almost surely, 2^152522500 is an apocalyptic number.

152522500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152522500 is the 12350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152522500

152522500 is an abundant number, since it is smaller than the sum of its proper divisors (228653141).

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

152522500 is a wasteful number, since it uses less digits than its factorization.

152522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The cubic root of 152522500 is about 534.2911391035.

Adding to 152522500 its reverse (5225251), we get a palindrome (157747751).

It can be divided in two parts, 1525 and 22500, that added together give a square (24025 = 155²).

The spelling of 152522500 in words is "one hundred fifty-two million, five hundred twenty-two thousand, five hundred".