146982177072 has 480 divisors, whose sum is σ = 463348468800. Its totient is φ = 44580077568.

The previous prime is 146982177053. The next prime is 146982177091. The reversal of 146982177072 is 270771289641.

146982177072 is a `hidden beast` number, since 1 + 469 + 8 + 2 + 177 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (146982177053) and next prime (146982177091).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 641843454 + ... + 641843682.

It is an arithmetic number, because the mean of its divisors is an integer number (965309310).

Almost surely, 2^146982177072 is an apocalyptic number.

146982177072 is a gapful number since it is divisible by the number (12) 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 146982177072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231674234400).

146982177072 is an abundant number, since it is smaller than the sum of its proper divisors (316366291728).

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

146982177072 is a wasteful number, since it uses less digits than its factorization.

146982177072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 146982177072 in words is "one hundred forty-six billion, nine hundred eighty-two million, one hundred seventy-seven thousand, seventy-two".