145475371008 has 576 divisors, whose sum is σ = 487711808640. Its totient is φ = 42467328000.

The previous prime is 145475371001. The next prime is 145475371033. The reversal of 145475371008 is 800173574541.

145475371008 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 7 + 537 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (145475371001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1440350158 + ... + 1440350258.

It is an arithmetic number, because the mean of its divisors is an integer number (846721890).

Almost surely, 2^145475371008 is an apocalyptic number.

145475371008 is a gapful number since it is divisible by the number (18) 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 145475371008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855904320).

145475371008 is an abundant number, since it is smaller than the sum of its proper divisors (342236437632).

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

145475371008 is an equidigital number, since it uses as much as digits as its factorization.

145475371008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 145475371008 in words is "one hundred forty-five billion, four hundred seventy-five million, three hundred seventy-one thousand, eight".