152814086280 has 384 divisors, whose sum is σ = 523959321600. Its totient is φ = 38576756736.

The previous prime is 152814086273. The next prime is 152814086297. The reversal of 152814086280 is 82680418251.

152814086280 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 14 + 0 + 8 + 628 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274351762 + ... + 274352318.

It is an arithmetic number, because the mean of its divisors is an integer number (1364477400).

Almost surely, 2^152814086280 is an apocalyptic number.

152814086280 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 152814086280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261979660800).

152814086280 is an abundant number, since it is smaller than the sum of its proper divisors (371145235320).

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

152814086280 is a wasteful number, since it uses less digits than its factorization.

152814086280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 152814086280 in words is "one hundred fifty-two billion, eight hundred fourteen million, eighty-six thousand, two hundred eighty".