152038728864 has 240 divisors, whose sum is σ = 488560143456. Its totient is φ = 45999705600.

The previous prime is 152038728841. The next prime is 152038728869. The reversal of 152038728864 is 468827830251.

152038728864 is a `hidden beast` number, since 1 + 520 + 38 + 7 + 2 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 152038728864.

It is not an unprimeable number, because it can be changed into a prime (152038728869) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 19697934 + ... + 19705650.

Almost surely, 2^152038728864 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 152038728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244280071728).

152038728864 is an abundant number, since it is smaller than the sum of its proper divisors (336521414592).

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

152038728864 is a wasteful number, since it uses less digits than its factorization.

152038728864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8424 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 152038728864 in words is "one hundred fifty-two billion, thirty-eight million, seven hundred twenty-eight thousand, eight hundred sixty-four".