146054445120 has 168 divisors, whose sum is σ = 502874325720. Its totient is φ = 38908477440.

The previous prime is 146054445077. The next prime is 146054445157. The reversal of 146054445120 is 21544450641.

146054445120 is a `hidden beast` number, since 1 + 4 + 60 + 544 + 4 + 51 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 454201344 + 145600243776 = 21312^2 + 381576^2 .

It is a super-2 number, since 2×146054445120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2880790 + ... + 2931050.

Almost surely, 2^146054445120 is an apocalyptic number.

146054445120 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 146054445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251437162860).

146054445120 is an abundant number, since it is smaller than the sum of its proper divisors (356819880600).

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

146054445120 is a wasteful number, since it uses less digits than its factorization.

146054445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51293 (or 51280 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 146054445120 its reverse (21544450641), we get a palindrome (167598895761).

The spelling of 146054445120 in words is "one hundred forty-six billion, fifty-four million, four hundred forty-five thousand, one hundred twenty".