145253200 has 60 divisors (see below), whose sum is σ = 354751228. Its totient is φ = 57139200.

The previous prime is 145253191. The next prime is 145253203. The reversal of 145253200 is 2352541.

It can be written as a sum of positive squares in 6 ways, for example, as 73410624 + 71842576 = 8568^2 + 8476^2 .

It is a super-2 number, since 2×145253200² = 42196984220480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145253203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21424 + ... + 27376.

Almost surely, 2^145253200 is an apocalyptic number.

145253200 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 145253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177375614).

145253200 is an abundant number, since it is smaller than the sum of its proper divisors (209498028).

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

145253200 is a wasteful number, since it uses less digits than its factorization.

145253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 145253200 is about 12052.1035508329. The cubic root of 145253200 is about 525.6644044738.

The spelling of 145253200 in words is "one hundred forty-five million, two hundred fifty-three thousand, two hundred".