152017145280 has 2688 divisors, whose sum is σ = 765883883520. Its totient is φ = 28217548800.

The previous prime is 152017145279. The next prime is 152017145297. The reversal of 152017145280 is 82541710251.

It is a happy number.

152017145280 is a `hidden beast` number, since 1 + 520 + 1 + 7 + 1 + 4 + 52 + 80 = 666.

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

It is a congruent number.

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, 4903778865 + ... + 4903778895.

It is an arithmetic number, because the mean of its divisors is an integer number (284927040).

Almost surely, 2^152017145280 is an apocalyptic number.

152017145280 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 152017145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382941941760).

152017145280 is an abundant number, since it is smaller than the sum of its proper divisors (613866738240).

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

152017145280 is a wasteful number, since it uses less digits than its factorization.

152017145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 152017145280 in words is "one hundred fifty-two billion, seventeen million, one hundred forty-five thousand, two hundred eighty".