145794600 has 576 divisors, whose sum is σ = 636120000. Its totient is φ = 30481920.

The previous prime is 145794599. The next prime is 145794641. The reversal of 145794600 is 6497541.

145794600 is a `hidden beast` number, since 1 + 45 + 7 + 9 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5027386 + ... + 5027414.

It is an arithmetic number, because the mean of its divisors is an integer number (1104375).

Almost surely, 2^145794600 is an apocalyptic number.

145794600 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 145794600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318060000).

145794600 is an abundant number, since it is smaller than the sum of its proper divisors (490325400).

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

145794600 is a wasteful number, since it uses less digits than its factorization.

145794600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 145794600 is about 12074.5434696306. The cubic root of 145794600 is about 526.3166949809.

The spelling of 145794600 in words is "one hundred forty-five million, seven hundred ninety-four thousand, six hundred".