152564453530336 has 192 divisors, whose sum is σ = 342249988046400. Its totient is φ = 66608622452736.

The previous prime is 152564453530309. The next prime is 152564453530387. The reversal of 152564453530336 is 633035354465251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32370156 + ... + 36782548.

It is an arithmetic number, because the mean of its divisors is an integer number (1782552021075).

Almost surely, 2^{152564453530336} is an apocalyptic number.

152564453530336 is a gapful number since it is divisible by the number (16) 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 152564453530336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171124994023200).

152564453530336 is an abundant number, since it is smaller than the sum of its proper divisors (189685534516064).

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

152564453530336 is a wasteful number, since it uses less digits than its factorization.

152564453530336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412541 (or 4412533 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 55.

The spelling of 152564453530336 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, four hundred fifty-three million, five hundred thirty thousand, three hundred thirty-six".