152028900 has 135 divisors (see below), whose sum is σ = 496441099. Its totient is φ = 40245120.

The previous prime is 152028889. The next prime is 152028913. The reversal of 152028900 is 9820251.

The square root of 152028900 is 12330.

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

152028900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 443556 + 151585344 = 666^2 + 12312^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×152028900² = 46225572870420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1109632 + ... + 1109768.

Almost surely, 2^152028900 is an apocalyptic number.

152028900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152028900 is the 12330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152028900

152028900 is an abundant number, since it is smaller than the sum of its proper divisors (344412199).

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

152028900 is a wasteful number, since it uses less digits than its factorization.

152028900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 152028900 is about 533.7141507622.

The spelling of 152028900 in words is "one hundred fifty-two million, twenty-eight thousand, nine hundred".