145653459072 has 384 divisors, whose sum is σ = 440096103360. Its totient is φ = 42319872000.

The previous prime is 145653459071. The next prime is 145653459079. The reversal of 145653459072 is 270954356541.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (145653459071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518339572 + ... + 518339852.

Almost surely, 2^145653459072 is an apocalyptic number.

145653459072 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 145653459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220048051680).

145653459072 is an abundant number, since it is smaller than the sum of its proper divisors (294442644288).

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

145653459072 is a wasteful number, since it uses less digits than its factorization.

145653459072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 145653459072 in words is "one hundred forty-five billion, six hundred fifty-three million, four hundred fifty-nine thousand, seventy-two".