99152000 has 64 divisors (see below), whose sum is σ = 246556440. Its totient is φ = 39654400.

The previous prime is 99151993. The next prime is 99152021. The reversal of 99152000 is 25199.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24364096 + 74787904 = 4936^2 + 8648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×99152000² = 19662238208000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12902 + ... + 19098.

Almost surely, 2^99152000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123278220).

99152000 is an abundant number, since it is smaller than the sum of its proper divisors (147404440).

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

99152000 is an equidigital number, since it uses as much as digits as its factorization.

99152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 99152000 is about 9957.5097288428. The cubic root of 99152000 is about 462.8431346963.

Adding to 99152000 its reverse (25199), we get a palindrome (99177199).

The spelling of 99152000 in words is "ninety-nine million, one hundred fifty-two thousand".