145591600 has 240 divisors, whose sum is σ = 453899520. Its totient is φ = 43545600.

The previous prime is 145591597. The next prime is 145591609. The reversal of 145591600 is 6195541.

It is not an unprimeable number, because it can be changed into a prime (145591609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893119 + ... + 893281.

It is an arithmetic number, because the mean of its divisors is an integer number (1891248).

Almost surely, 2^145591600 is an apocalyptic number.

145591600 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 145591600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226949760).

145591600 is an abundant number, since it is smaller than the sum of its proper divisors (308307920).

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

145591600 is a wasteful number, since it uses less digits than its factorization.

145591600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 145591600 is about 12066.1344265676. The cubic root of 145591600 is about 526.0723056929.

The spelling of 145591600 in words is "one hundred forty-five million, five hundred ninety-one thousand, six hundred".