145453916160 has 560 divisors, whose sum is σ = 596035034496. Its totient is φ = 33241300992.

The previous prime is 145453916137. The next prime is 145453916161. The reversal of 145453916160 is 61619354541.

145453916160 is a `hidden beast` number, since 1 + 4 + 54 + 539 + 1 + 6 + 1 + 60 = 666.

145453916160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is not an unprimeable number, because it can be changed into a prime (145453916161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23221189 + ... + 23227451.

Almost surely, 2^145453916160 is an apocalyptic number.

145453916160 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 145453916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298017517248).

145453916160 is an abundant number, since it is smaller than the sum of its proper divisors (450581118336).

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

145453916160 is an frugal number, since it uses more digits than its factorization.

145453916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 145453916160 in words is "one hundred forty-five billion, four hundred fifty-three million, nine hundred sixteen thousand, one hundred sixty".