145281600 has 420 divisors, whose sum is σ = 571652400. Its totient is φ = 36080640.

The previous prime is 145281599. The next prime is 145281611. The reversal of 145281600 is 6182541.

145281600 is a `hidden beast` number, since 1 + 4 + 52 + 8 + 1 + 600 = 666.

It is a super-2 number, since 2×145281600² = 42213486597120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462371 + ... + 2462429.

Almost surely, 2^145281600 is an apocalyptic number.

145281600 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 145281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285826200).

145281600 is an abundant number, since it is smaller than the sum of its proper divisors (426370800).

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

145281600 is a wasteful number, since it uses less digits than its factorization.

145281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 145281600 is about 12053.2817108039. The cubic root of 145281600 is about 525.6986616565.

The spelling of 145281600 in words is "one hundred forty-five million, two hundred eighty-one thousand, six hundred".