145727600 has 60 divisors (see below), whose sum is σ = 352763880. Its totient is φ = 57849600.

The previous prime is 145727579. The next prime is 145727629. The reversal of 145727600 is 6727541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54290 + ... + 56910.

It is an arithmetic number, because the mean of its divisors is an integer number (5879398).

Almost surely, 2^145727600 is an apocalyptic number.

145727600 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 145727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176381940).

145727600 is an abundant number, since it is smaller than the sum of its proper divisors (207036280).

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

145727600 is a wasteful number, since it uses less digits than its factorization.

145727600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 145727600 is about 12071.7687187918. The cubic root of 145727600 is about 526.2360595717.

The spelling of 145727600 in words is "one hundred forty-five million, seven hundred twenty-seven thousand, six hundred".