145578048 has 224 divisors, whose sum is σ = 493532160. Its totient is φ = 36771840.

The previous prime is 145578047. The next prime is 145578049. The reversal of 145578048 is 840875541.

It is an interprime number because it is at equal distance from previous prime (145578047) and next prime (145578049).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (145578047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635598 + ... + 635826.

Almost surely, 2^145578048 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 145578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246766080).

145578048 is an abundant number, since it is smaller than the sum of its proper divisors (347954112).

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

145578048 is a wasteful number, since it uses less digits than its factorization.

145578048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 145578048 is about 12065.5728417676. The cubic root of 145578048 is about 526.0559825142.

The spelling of 145578048 in words is "one hundred forty-five million, five hundred seventy-eight thousand, forty-eight".