152284173120 has 672 divisors, whose sum is σ = 581807116800. Its totient is φ = 37798078464.

The previous prime is 152284173091. The next prime is 152284173121. The reversal of 152284173120 is 21371482251.

152284173120 is a `hidden beast` number, since 1 + 5 + 228 + 417 + 3 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152284173121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87168087 + ... + 87169833.

It is an arithmetic number, because the mean of its divisors is an integer number (865784400).

Almost surely, 2^152284173120 is an apocalyptic number.

152284173120 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 152284173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290903558400).

152284173120 is an abundant number, since it is smaller than the sum of its proper divisors (429522943680).

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

152284173120 is a wasteful number, since it uses less digits than its factorization.

152284173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 152284173120 in words is "one hundred fifty-two billion, two hundred eighty-four million, one hundred seventy-three thousand, one hundred twenty".