152284992 has 56 divisors (see below), whose sum is σ = 404445216. Its totient is φ = 50569728.

The previous prime is 152284987. The next prime is 152284999. The reversal of 152284992 is 299482251.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152284999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54903 + ... + 57609.

It is an arithmetic number, because the mean of its divisors is an integer number (7222236).

Almost surely, 2^152284992 is an apocalyptic number.

152284992 is a gapful number since it is divisible by the number (12) 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 152284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202222608).

152284992 is an abundant number, since it is smaller than the sum of its proper divisors (252160224).

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

152284992 is a wasteful number, since it uses less digits than its factorization.

152284992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3005 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 152284992 is about 12340.3805451858. The cubic root of 152284992 is about 534.0136623474.

The spelling of 152284992 in words is "one hundred fifty-two million, two hundred eighty-four thousand, nine hundred ninety-two".