152531964035072 has 256 divisors, whose sum is σ = 322096367203200. Its totient is φ = 72090176716800.

The previous prime is 152531964035063. The next prime is 152531964035107. The reversal of 152531964035072 is 270530469135251.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23644697447 + ... + 23644703897.

Almost surely, 2^{152531964035072} 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 152531964035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161048183601600).

152531964035072 is an abundant number, since it is smaller than the sum of its proper divisors (169564403168128).

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

152531964035072 is an equidigital number, since it uses as much as digits as its factorization.

152531964035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 53.

The spelling of 152531964035072 in words is "one hundred fifty-two trillion, five hundred thirty-one billion, nine hundred sixty-four million, thirty-five thousand, seventy-two".