145305600 has 312 divisors, whose sum is σ = 536281152. Its totient is φ = 34406400.

The previous prime is 145305581. The next prime is 145305607. The reversal of 145305600 is 6503541.

It is a super-2 number, since 2×145305600² = 42227434782720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145305607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3379179 + ... + 3379221.

Almost surely, 2^145305600 is an apocalyptic number.

145305600 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 145305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268140576).

145305600 is an abundant number, since it is smaller than the sum of its proper divisors (390975552).

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

145305600 is a wasteful number, since it uses less digits than its factorization.

145305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 145305600 is about 12054.2772491759. The cubic root of 145305600 is about 525.7276079080.

The spelling of 145305600 in words is "one hundred forty-five million, three hundred five thousand, six hundred".