145953000 has 96 divisors (see below), whose sum is σ = 493351560. Its totient is φ = 38918400.

The previous prime is 145952993. The next prime is 145953023. The reversal of 145953000 is 359541.

It can be written as a sum of positive squares in 4 ways, for example, as 65707236 + 80245764 = 8106^2 + 8958^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 892 + ... + 17108.

Almost surely, 2^145953000 is an apocalyptic number.

145953000 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 145953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246675780).

145953000 is an abundant number, since it is smaller than the sum of its proper divisors (347398560).

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

145953000 is a wasteful number, since it uses less digits than its factorization.

145953000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16244 (or 16227 counting only the distinct ones).

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

The square root of 145953000 is about 12081.1009432088. The cubic root of 145953000 is about 526.5072333376.

The spelling of 145953000 in words is "one hundred forty-five million, nine hundred fifty-three thousand".