145950560 has 96 divisors (see below), whose sum is σ = 397135872. Its totient is φ = 49651200.

The previous prime is 145950551. The next prime is 145950577. The reversal of 145950560 is 65059541.

It is a Cunningham number, because it is equal to 12081²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 145950560.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 168689 + ... + 169551.

It is an arithmetic number, because the mean of its divisors is an integer number (4136832).

Almost surely, 2^145950560 is an apocalyptic number.

145950560 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 145950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198567936).

145950560 is an abundant number, since it is smaller than the sum of its proper divisors (251185312).

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

145950560 is a wasteful number, since it uses less digits than its factorization.

145950560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 145950560 is about 12080.9999586127. Note that the first 4 decimals coincide. The cubic root of 145950560 is about 526.5042993227.

The spelling of 145950560 in words is "one hundred forty-five million, nine hundred fifty thousand, five hundred sixty".