145468800 has 144 divisors (see below), whose sum is σ = 519168780. Its totient is φ = 38784000.

The previous prime is 145468781. The next prime is 145468811. The reversal of 145468800 is 8864541.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×145468800² = 42322343546880000, which contains 22 as substring.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26275 + ... + 31325.

Almost surely, 2^145468800 is an apocalyptic number.

145468800 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 145468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259584390).

145468800 is an abundant number, since it is smaller than the sum of its proper divisors (373699980).

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

145468800 is a wasteful number, since it uses less digits than its factorization.

145468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 145468800 is about 12061.0447308681. The cubic root of 145468800 is about 525.9243579392.

The spelling of 145468800 in words is "one hundred forty-five million, four hundred sixty-eight thousand, eight hundred".