145210560 has 112 divisors (see below), whose sum is σ = 502993152. Its totient is φ = 35200000.

The previous prime is 145210553. The next prime is 145210577. The reversal of 145210560 is 65012541.

It is a super-2 number, since 2×145210560² = 42172213471027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145210560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3685 + ... + 17435.

Almost surely, 2^145210560 is an apocalyptic number.

145210560 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 145210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251496576).

145210560 is an abundant number, since it is smaller than the sum of its proper divisors (357782592).

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

145210560 is a wasteful number, since it uses less digits than its factorization.

145210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13782 (or 13772 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 145210560 is about 12050.3344351931. The cubic root of 145210560 is about 525.6129620641.

The spelling of 145210560 in words is "one hundred forty-five million, two hundred ten thousand, five hundred sixty".