145270200 has 96 divisors (see below), whose sum is σ = 474076800. Its totient is φ = 36696960.

The previous prime is 145270187. The next prime is 145270249. The reversal of 145270200 is 2072541.

It is a super-2 number, since 2×145270200² = 42206862016080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5029 + ... + 17771.

It is an arithmetic number, because the mean of its divisors is an integer number (4938300).

Almost surely, 2^145270200 is an apocalyptic number.

145270200 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 145270200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237038400).

145270200 is an abundant number, since it is smaller than the sum of its proper divisors (328806600).

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

145270200 is a wasteful number, since it uses less digits than its factorization.

145270200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12781 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 145270200 is about 12052.8088012712. The cubic root of 145270200 is about 525.6849110702.

The spelling of 145270200 in words is "one hundred forty-five million, two hundred seventy thousand, two hundred".