145227600 has 480 divisors, whose sum is σ = 631031040. Its totient is φ = 30965760.

The previous prime is 145227571. The next prime is 145227601. The reversal of 145227600 is 6722541.

145227600 is a `hidden beast` number, since 1 + 4 + 52 + 2 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145227601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285144 + ... + 1285256.

It is an arithmetic number, because the mean of its divisors is an integer number (1314648).

Almost surely, 2^145227600 is an apocalyptic number.

145227600 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 145227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315515520).

145227600 is an abundant number, since it is smaller than the sum of its proper divisors (485803440).

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

145227600 is a wasteful number, since it uses less digits than its factorization.

145227600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 145227600 is about 12051.0414487711. The cubic root of 145227600 is about 525.6335209329.

It can be divided in two parts, 14522 and 7600, that added together give a palindrome (22122).

The spelling of 145227600 in words is "one hundred forty-five million, two hundred twenty-seven thousand, six hundred".