152842500 has 90 divisors (see below), whose sum is σ = 482856374. Its totient is φ = 40752000.

The previous prime is 152842489. The next prime is 152842519. The reversal of 152842500 is 5248251.

It is a happy number.

152842500 is a `hidden beast` number, since 152 + 8 + 4 + 2 + 500 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 94595076 + 58247424 = 9726^2 + 7632^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19104 + ... + 25896.

Almost surely, 2^152842500 is an apocalyptic number.

152842500 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 152842500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241428187).

152842500 is an abundant number, since it is smaller than the sum of its proper divisors (330013874).

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

152842500 is a wasteful number, since it uses less digits than its factorization.

152842500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 152842500 is about 12362.9486773989. The cubic root of 152842500 is about 534.6645347961.

The spelling of 152842500 in words is "one hundred fifty-two million, eight hundred forty-two thousand, five hundred".