145454041512 has 192 divisors, whose sum is σ = 430820208000. Its totient is φ = 44062824960.

The previous prime is 145454041493. The next prime is 145454041543. The reversal of 145454041512 is 215140454541.

145454041512 is a `hidden beast` number, since 1 + 4 + 54 + 54 + 0 + 41 + 512 = 666.

145454041512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145454041512² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74629114 + ... + 74631062.

It is an arithmetic number, because the mean of its divisors is an integer number (2243855250).

Almost surely, 2^145454041512 is an apocalyptic number.

145454041512 is a gapful number since it is divisible by the number (12) 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 145454041512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215410104000).

145454041512 is an abundant number, since it is smaller than the sum of its proper divisors (285366166488).

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

145454041512 is a wasteful number, since it uses less digits than its factorization.

145454041512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 145454041512 in words is "one hundred forty-five billion, four hundred fifty-four million, forty-one thousand, five hundred twelve".