145385349120 has 1792 divisors, whose sum is σ = 645463987200. Its totient is φ = 30576476160.

The previous prime is 145385349077. The next prime is 145385349143. The reversal of 145385349120 is 21943583541.

145385349120 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 8 + 534 + 91 + 20 = 666.

It is a super-3 number, since 3×145385349120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3929333742 + ... + 3929333778.

Almost surely, 2^145385349120 is an apocalyptic number.

145385349120 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 145385349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322731993600).

145385349120 is an abundant number, since it is smaller than the sum of its proper divisors (500078638080).

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

145385349120 is a wasteful number, since it uses less digits than its factorization.

145385349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 145385349120 in words is "one hundred forty-five billion, three hundred eighty-five million, three hundred forty-nine thousand, one hundred twenty".