145968480 has 240 divisors, whose sum is σ = 589105440. Its totient is φ = 33343488.

The previous prime is 145968479. The next prime is 145968481. The reversal of 145968480 is 84869541.

145968480 is a `hidden beast` number, since 14 + 596 + 8 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145968479) and next prime (145968481).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145968481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89916 + ... + 91524.

It is an arithmetic number, because the mean of its divisors is an integer number (2454606).

Almost surely, 2^145968480 is an apocalyptic number.

145968480 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 145968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294552720).

145968480 is an abundant number, since it is smaller than the sum of its proper divisors (443136960).

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

145968480 is a wasteful number, since it uses less digits than its factorization.

145968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 145968480 is about 12081.7415963097. The cubic root of 145968480 is about 526.5258467356.

The spelling of 145968480 in words is "one hundred forty-five million, nine hundred sixty-eight thousand, four hundred eighty".