152891274332160 has 4608 divisors, whose sum is σ = 735938754969600. Its totient is φ = 29348321034240.

The previous prime is 152891274332149. The next prime is 152891274332213. The reversal of 152891274332160 is 61233472198251.

152891274332160 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 9 + 127 + 433 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a junction number, because it is equal to n+sod(n) for n = 152891274332097 and 152891274332106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 172368967237 + ... + 172368968123.

It is an arithmetic number, because the mean of its divisors is an integer number (159708931200).

It is a 1-persistent number, because it is pandigital, but 2⋅152891274332160 = 305782548664320 is not.

Almost surely, 2^{152891274332160} is an apocalyptic number.

152891274332160 is a gapful number since it is divisible by the number (10) 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 152891274332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367969377484800).

152891274332160 is an abundant number, since it is smaller than the sum of its proper divisors (583047480637440).

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

152891274332160 is a wasteful number, since it uses less digits than its factorization.

152891274332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 152891274332160 in words is "one hundred fifty-two trillion, eight hundred ninety-one billion, two hundred seventy-four million, three hundred thirty-two thousand, one hundred sixty".