152016487020 has 192 divisors, whose sum is σ = 489775587840. Its totient is φ = 39117447936.

The previous prime is 152016487013. The next prime is 152016487031. The reversal of 152016487020 is 20784610251.

152016487020 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 1 + 648 + 7 + 0 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887822 + ... + 1966698.

It is an arithmetic number, because the mean of its divisors is an integer number (2550914520).

Almost surely, 2^152016487020 is an apocalyptic number.

152016487020 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 152016487020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244887793920).

152016487020 is an abundant number, since it is smaller than the sum of its proper divisors (337759100820).

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

152016487020 is a wasteful number, since it uses less digits than its factorization.

152016487020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79021 (or 79013 counting only the distinct ones).

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

The spelling of 152016487020 in words is "one hundred fifty-two billion, sixteen million, four hundred eighty-seven thousand, twenty".