145197600 has 144 divisors (see below), whose sum is σ = 478094400. Its totient is φ = 38272000.

The previous prime is 145197587. The next prime is 145197607. The reversal of 145197600 is 6791541.

145197600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145197607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242101 + ... + 242699.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2^145197600 is an apocalyptic number.

145197600 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 145197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

145197600 is an abundant number, since it is smaller than the sum of its proper divisors (332896800).

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

145197600 is a wasteful number, since it uses less digits than its factorization.

145197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 145197600 is about 12049.7966787826. The cubic root of 145197600 is about 525.5973246645.

The spelling of 145197600 in words is "one hundred forty-five million, one hundred ninety-seven thousand, six hundred".