145737200 has 240 divisors, whose sum is σ = 436924416. Its totient is φ = 45619200.

The previous prime is 145737173. The next prime is 145737217. The reversal of 145737200 is 2737541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1996364 + ... + 1996436.

Almost surely, 2^145737200 is an apocalyptic number.

145737200 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 145737200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218462208).

145737200 is an abundant number, since it is smaller than the sum of its proper divisors (291187216).

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

145737200 is a wasteful number, since it uses less digits than its factorization.

145737200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 145737200 is about 12072.1663341755. The cubic root of 145737200 is about 526.2476148187.

The spelling of 145737200 in words is "one hundred forty-five million, seven hundred thirty-seven thousand, two hundred".