145716480 has 432 divisors, whose sum is σ = 624973440. Its totient is φ = 30523392.

The previous prime is 145716479. The next prime is 145716481. The reversal of 145716480 is 84617541.

It is a happy number.

145716480 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145716479) and next prime (145716481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145716481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048251 + ... + 1048389.

Almost surely, 2^145716480 is an apocalyptic number.

145716480 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 145716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312486720).

145716480 is an abundant number, since it is smaller than the sum of its proper divisors (479256960).

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

145716480 is a wasteful number, since it uses less digits than its factorization.

145716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145716480 is about 12071.3081312673. The cubic root of 145716480 is about 526.2226741095. Note that the first 3 decimals are identical.

The spelling of 145716480 in words is "one hundred forty-five million, seven hundred sixteen thousand, four hundred eighty".