145033574400 has 1728 divisors, whose sum is σ = 638779115520. Its totient is φ = 30965760000.

The previous prime is 145033574341. The next prime is 145033574417. The reversal of 145033574400 is 4475330541.

145033574400 is a `hidden beast` number, since 1 + 4 + 50 + 33 + 574 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2042726365 + ... + 2042726435.

It is an arithmetic number, because the mean of its divisors is an integer number (369663840).

Almost surely, 2^145033574400 is an apocalyptic number.

145033574400 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 145033574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319389557760).

145033574400 is an abundant number, since it is smaller than the sum of its proper divisors (493745541120).

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

145033574400 is a wasteful number, since it uses less digits than its factorization.

145033574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 145033574400 in words is "one hundred forty-five billion, thirty-three million, five hundred seventy-four thousand, four hundred".