152897984642928 has 640 divisors, whose sum is σ = 502304856145920. Its totient is φ = 39117172469760.

The previous prime is 152897984642927. The next prime is 152897984642939. The reversal of 152897984642928 is 829246489798251.

152897984642928 is digitally balanced in base 3, 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 (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152897984642927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1126991418 + ... + 1127127078.

It is an arithmetic number, because the mean of its divisors is an integer number (784851337728).

Almost surely, 2^{152897984642928} 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 152897984642928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251152428072960).

152897984642928 is an abundant number, since it is smaller than the sum of its proper divisors (349406871502992).

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

152897984642928 is a wasteful number, since it uses less digits than its factorization.

152897984642928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135885 (or 135879 counting only the distinct ones).

The product of its digits is 10032906240, while the sum is 84.

The spelling of 152897984642928 in words is "one hundred fifty-two trillion, eight hundred ninety-seven billion, nine hundred eighty-four million, six hundred forty-two thousand, nine hundred twenty-eight".