152971202160 has 1280 divisors, whose sum is σ = 650101248000. Its totient is φ = 32732356608.

The previous prime is 152971202147. The next prime is 152971202161. The reversal of 152971202160 is 61202179251.

152971202160 is a `hidden beast` number, since 1 + 5 + 297 + 1 + 202 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152971202161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2095495884 + ... + 2095495956.

It is an arithmetic number, because the mean of its divisors is an integer number (507891600).

Almost surely, 2^152971202160 is an apocalyptic number.

152971202160 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 152971202160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325050624000).

152971202160 is an abundant number, since it is smaller than the sum of its proper divisors (497130045840).

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

152971202160 is an equidigital number, since it uses as much as digits as its factorization.

152971202160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 152971202160 in words is "one hundred fifty-two billion, nine hundred seventy-one million, two hundred two thousand, one hundred sixty".