146074844160 has 528 divisors, whose sum is σ = 581725827072. Its totient is φ = 33199718400.

The previous prime is 146074844137. The next prime is 146074844161. The reversal of 146074844160 is 61448470641.

146074844160 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 7 + 484 + 4 + 160 = 666.

It is a super-2 number, since 2×146074844160² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146074844161) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 61607775 + ... + 61610145.

Almost surely, 2^146074844160 is an apocalyptic number.

146074844160 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 146074844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290862913536).

146074844160 is an abundant number, since it is smaller than the sum of its proper divisors (435650982912).

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

146074844160 is a wasteful number, since it uses less digits than its factorization.

146074844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 146074844160 in words is "one hundred forty-six billion, seventy-four million, eight hundred forty-four thousand, one hundred sixty".