152284013280 has 384 divisors, whose sum is σ = 609867740160. Its totient is φ = 34765977600.

The previous prime is 152284013279. The next prime is 152284013293. The reversal of 152284013280 is 82310482251.

It is a happy number.

152284013280 is a `hidden beast` number, since 1 + 5 + 228 + 401 + 3 + 28 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 30146755 + ... + 30151805.

It is an arithmetic number, because the mean of its divisors is an integer number (1588197240).

Almost surely, 2^152284013280 is an apocalyptic number.

152284013280 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 152284013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304933870080).

152284013280 is an abundant number, since it is smaller than the sum of its proper divisors (457583726880).

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

152284013280 is a wasteful number, since it uses less digits than its factorization.

152284013280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6079 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 152284013280 in words is "one hundred fifty-two billion, two hundred eighty-four million, thirteen thousand, two hundred eighty".