145644480 has 168 divisors, whose sum is σ = 519787632. Its totient is φ = 38817792.

The previous prime is 145644461. The next prime is 145644497. The reversal of 145644480 is 84446541.

It is a happy number.

145644480 is a `hidden beast` number, since 1 + 4 + 5 + 644 + 4 + 8 + 0 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 76824 + ... + 78696.

It is an arithmetic number, because the mean of its divisors is an integer number (3093974).

Almost surely, 2^145644480 is an apocalyptic number.

145644480 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 145644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259893816).

145644480 is an abundant number, since it is smaller than the sum of its proper divisors (374143152).

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

145644480 is an equidigital number, since it uses as much as digits as its factorization.

145644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 145644480 is about 12068.3254845070. The cubic root of 145644480 is about 526.1359891660.

It can be divided in two parts, 14564 and 4480, that added together give a square (19044 = 138²).

The spelling of 145644480 in words is "one hundred forty-five million, six hundred forty-four thousand, four hundred eighty".