145374800 has 30 divisors (see below), whose sum is σ = 349263918. Its totient is φ = 58149760.

The previous prime is 145374799. The next prime is 145374811. The reversal of 145374800 is 8473541.

It can be written as a sum of positive squares in 3 ways, for example, as 4999696 + 140375104 = 2236^2 + 11848^2 .

It is a super-2 number, since 2×145374800² = 42267664950080000, 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 5 ways as a sum of consecutive naturals, for example, 181319 + ... + 182118.

Almost surely, 2^145374800 is an apocalyptic number.

145374800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145374800 is an abundant number, since it is smaller than the sum of its proper divisors (203889118).

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

145374800 is a wasteful number, since it uses less digits than its factorization.

145374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363455 (or 363444 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 145374800 is about 12057.1472579545. The cubic root of 145374800 is about 525.8110517596.

The spelling of 145374800 in words is "one hundred forty-five million, three hundred seventy-four thousand, eight hundred".