145478784 has 192 divisors, whose sum is σ = 442794240. Its totient is φ = 42240000.

The previous prime is 145478759. The next prime is 145478789. The reversal of 145478784 is 487874541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (145478789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440334 + ... + 1440434.

It is an arithmetic number, because the mean of its divisors is an integer number (2306220).

Almost surely, 2^145478784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145478784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221397120).

145478784 is an abundant number, since it is smaller than the sum of its proper divisors (297315456).

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

145478784 is a wasteful number, since it uses less digits than its factorization.

145478784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 48.

The square root of 145478784 is about 12061.4586182601. The cubic root of 145478784 is about 525.9363896341.

The spelling of 145478784 in words is "one hundred forty-five million, four hundred seventy-eight thousand, seven hundred eighty-four".