145336412160 has 576 divisors, whose sum is σ = 534804379200. Its totient is φ = 37437603840.

The previous prime is 145336412153. The next prime is 145336412203. The reversal of 145336412160 is 61214633541.

145336412160 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 3 + 641 + 2 + 1 + 6 + 0 = 666.

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

It is a super-2 number, since 2×145336412160² (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 47 ways as a sum of consecutive naturals, for example, 265697007 + ... + 265697553.

It is an arithmetic number, because the mean of its divisors is an integer number (928479825).

Almost surely, 2^145336412160 is an apocalyptic number.

145336412160 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 145336412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267402189600).

145336412160 is an abundant number, since it is smaller than the sum of its proper divisors (389467967040).

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

145336412160 is an equidigital number, since it uses as much as digits as its factorization.

145336412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 145336412160 in words is "one hundred forty-five billion, three hundred thirty-six million, four hundred twelve thousand, one hundred sixty".