145305900 has 90 divisors (see below), whose sum is σ = 471050580. Its totient is φ = 38746080.

The previous prime is 145305887. The next prime is 145305929. The reversal of 145305900 is 9503541.

145305900 is a `hidden beast` number, since 1 + 45 + 30 + 590 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×145305900² = 42227609149620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 870 + ... + 17069.

Almost surely, 2^145305900 is an apocalyptic number.

145305900 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 145305900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235525290).

145305900 is an abundant number, since it is smaller than the sum of its proper divisors (325744680).

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

145305900 is a wasteful number, since it uses less digits than its factorization.

145305900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17965 (or 17949 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 145305900 is about 12054.2896928853. The cubic root of 145305900 is about 525.7279697159.

The spelling of 145305900 in words is "one hundred forty-five million, three hundred five thousand, nine hundred".