145425600 has 126 divisors (see below), whose sum is σ = 516928100. Its totient is φ = 38776320.

The previous prime is 145425583. The next prime is 145425607. The reversal of 145425600 is 6524541.

145425600 is a `hidden beast` number, since 1 + 4 + 54 + 2 + 5 + 600 = 666.

It is a super-2 number, since 2×145425600² = 42297210270720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145425607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9351 + ... + 19449.

Almost surely, 2^145425600 is an apocalyptic number.

145425600 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 145425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258464050).

145425600 is an abundant number, since it is smaller than the sum of its proper divisors (371502500).

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

145425600 is a wasteful number, since it uses less digits than its factorization.

145425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 145425600 is about 12059.2537082524. The cubic root of 145425600 is about 525.8722913754.

The spelling of 145425600 in words is "one hundred forty-five million, four hundred twenty-five thousand, six hundred".