145178880 has 288 divisors, whose sum is σ = 579253248. Its totient is φ = 30105600.

The previous prime is 145178821. The next prime is 145178923. The reversal of 145178880 is 88871541.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295435 + ... + 295925.

It is an arithmetic number, because the mean of its divisors is an integer number (2011296).

Almost surely, 2^145178880 is an apocalyptic number.

145178880 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 145178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289626624).

145178880 is an abundant number, since it is smaller than the sum of its proper divisors (434074368).

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

145178880 is a wasteful number, since it uses less digits than its factorization.

145178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The square root of 145178880 is about 12049.0198771518. The cubic root of 145178880 is about 525.5747356667.

The spelling of 145178880 in words is "one hundred forty-five million, one hundred seventy-eight thousand, eight hundred eighty".