152564105266352 has 120 divisors (see below), whose sum is σ = 324507476629728. Its totient is φ = 69440447232000.

The previous prime is 152564105266301. The next prime is 152564105266379. The reversal of 152564105266352 is 253662501465251.

It is a junction number, because it is equal to n+sod(n) for n = 152564105266294 and 152564105266303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1624686602 + ... + 1624780502.

Almost surely, 2^{152564105266352} 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 152564105266352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162253738314864).

152564105266352 is an abundant number, since it is smaller than the sum of its proper divisors (171943371363376).

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

152564105266352 is a wasteful number, since it uses less digits than its factorization.

152564105266352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102239 (or 102220 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 53.

The spelling of 152564105266352 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, one hundred five million, two hundred sixty-six thousand, three hundred fifty-two".