145449976320 has 1600 divisors, whose sum is σ = 626290486272. Its totient is φ = 32115916800.

The previous prime is 145449976261. The next prime is 145449976411. The reversal of 145449976320 is 23679944541.

145449976320 is a `hidden beast` number, since 1 + 4 + 54 + 499 + 76 + 32 + 0 = 666.

It is a super-2 number, since 2×145449976320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4691934705 + ... + 4691934735.

Almost surely, 2^145449976320 is an apocalyptic number.

145449976320 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 145449976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313145243136).

145449976320 is an abundant number, since it is smaller than the sum of its proper divisors (480840509952).

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

145449976320 is an equidigital number, since it uses as much as digits as its factorization.

145449976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 145449976320 in words is "one hundred forty-five billion, four hundred forty-nine million, nine hundred seventy-six thousand, three hundred twenty".