146827287360 has 672 divisors, whose sum is σ = 567002322432. Its totient is φ = 35951247360.

The previous prime is 146827287353. The next prime is 146827287407. The reversal of 146827287360 is 63782728641.

146827287360 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 272 + 8 + 7 + 360 = 666.

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 = 146827287297 and 146827287306.

It is a congruent number.

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, 340666345 + ... + 340666775.

It is an arithmetic number, because the mean of its divisors is an integer number (843753456).

Almost surely, 2^146827287360 is an apocalyptic number.

146827287360 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 146827287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283501161216).

146827287360 is an abundant number, since it is smaller than the sum of its proper divisors (420175035072).

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

146827287360 is a wasteful number, since it uses less digits than its factorization.

146827287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 146827287360 in words is "one hundred forty-six billion, eight hundred twenty-seven million, two hundred eighty-seven thousand, three hundred sixty".