145083600 has 180 divisors, whose sum is σ = 508515072. Its totient is φ = 38304000.

The previous prime is 145083599. The next prime is 145083641. The reversal of 145083600 is 6380541.

145083600 is a `hidden beast` number, since 1 + 4 + 50 + 8 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×145083600³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 687495 + ... + 687705.

Almost surely, 2^145083600 is an apocalyptic number.

145083600 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 145083600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254257536).

145083600 is an abundant number, since it is smaller than the sum of its proper divisors (363431472).

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

145083600 is a wasteful number, since it uses less digits than its factorization.

145083600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145083600 is about 12045.0653796482. The cubic root of 145083600 is about 525.4597333564.

The spelling of 145083600 in words is "one hundred forty-five million, eighty-three thousand, six hundred".