145645500 has 384 divisors, whose sum is σ = 575318016. Its totient is φ = 27648000.

The previous prime is 145645483. The next prime is 145645501. The reversal of 145645500 is 5546541.

It is a super-2 number, since 2×145645500² = 42425223340500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145645501) 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 127 ways as a sum of consecutive naturals, for example, 1501452 + ... + 1501548.

It is an arithmetic number, because the mean of its divisors is an integer number (1498224).

Almost surely, 2^145645500 is an apocalyptic number.

145645500 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 145645500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287659008).

145645500 is an abundant number, since it is smaller than the sum of its proper divisors (429672516).

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

145645500 is a wasteful number, since it uses less digits than its factorization.

145645500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 145645500 is about 12068.3677438169. The cubic root of 145645500 is about 526.1372174021.

The spelling of 145645500 in words is "one hundred forty-five million, six hundred forty-five thousand, five hundred".