145776480 has 96 divisors (see below), whose sum is σ = 461311200. Its totient is φ = 38694912.

The previous prime is 145776473. The next prime is 145776481. The reversal of 145776480 is 84677541.

145776480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145776481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128556 + ... + 129684.

It is an arithmetic number, because the mean of its divisors is an integer number (4805325).

Almost surely, 2^145776480 is an apocalyptic number.

145776480 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 145776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230655600).

145776480 is an abundant number, since it is smaller than the sum of its proper divisors (315534720).

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

145776480 is a wasteful number, since it uses less digits than its factorization.

145776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 145776480 is about 12073.7931073876. The cubic root of 145776480 is about 526.2948897526.

The spelling of 145776480 in words is "one hundred forty-five million, seven hundred seventy-six thousand, four hundred eighty".