145418000 has 320 divisors, whose sum is σ = 467970048. Its totient is φ = 42393600.

The previous prime is 145417999. The next prime is 145418003. The reversal of 145418000 is 814541.

It is a super-2 number, since 2×145418000² = 42292789448000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145418003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3093977 + ... + 3094023.

Almost surely, 2^145418000 is an apocalyptic number.

145418000 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 145418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

145418000 is an abundant number, since it is smaller than the sum of its proper divisors (322552048).

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

145418000 is a wasteful number, since it uses less digits than its factorization.

145418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 145418000 is about 12058.9385934252. The cubic root of 145418000 is about 525.8631304504.

The spelling of 145418000 in words is "one hundred forty-five million, four hundred eighteen thousand".