145033353504 has 288 divisors, whose sum is σ = 462203449344. Its totient is φ = 42849331200.

The previous prime is 145033353503. The next prime is 145033353511. The reversal of 145033353504 is 405353330541.

145033353504 is a `hidden beast` number, since 145 + 0 + 3 + 3 + 3 + 5 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145033353503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9318529 + ... + 9334079.

It is an arithmetic number, because the mean of its divisors is an integer number (1604873088).

Almost surely, 2^145033353504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145033353504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231101724672).

145033353504 is an abundant number, since it is smaller than the sum of its proper divisors (317170095840).

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

145033353504 is a wasteful number, since it uses less digits than its factorization.

145033353504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15680 (or 15669 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 145033353504 in words is "one hundred forty-five billion, thirty-three million, three hundred fifty-three thousand, five hundred four".