152158288320 has 224 divisors, whose sum is σ = 538926877440. Its totient is φ = 40413312000.

The previous prime is 152158288211. The next prime is 152158288351. The reversal of 152158288320 is 23882851251.

152158288320 is a `hidden beast` number, since 1 + 521 + 5 + 8 + 28 + 83 + 20 = 666.

152158288320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2133559 + ... + 2203721.

It is an arithmetic number, because the mean of its divisors is an integer number (2405923560).

Almost surely, 2^152158288320 is an apocalyptic number.

152158288320 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 152158288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269463438720).

152158288320 is an abundant number, since it is smaller than the sum of its proper divisors (386768589120).

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

152158288320 is a wasteful number, since it uses less digits than its factorization.

152158288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70440 (or 70424 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 152158288320 in words is "one hundred fifty-two billion, one hundred fifty-eight million, two hundred eighty-eight thousand, three hundred twenty".