145095600 has 240 divisors, whose sum is σ = 511467264. Its totient is φ = 34944000.

The previous prime is 145095589. The next prime is 145095617. The reversal of 145095600 is 6590541.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107535 + ... + 1107665.

Almost surely, 2^145095600 is an apocalyptic number.

145095600 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 145095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255733632).

145095600 is an abundant number, since it is smaller than the sum of its proper divisors (366371664).

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

145095600 is a wasteful number, since it uses less digits than its factorization.

145095600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 145095600 is about 12045.5634986496. The cubic root of 145095600 is about 525.4742200454.

The spelling of 145095600 in words is "one hundred forty-five million, ninety-five thousand, six hundred".