145754600 has 96 divisors (see below), whose sum is σ = 362387520. Its totient is φ = 54328320.

The previous prime is 145754573. The next prime is 145754621. The reversal of 145754600 is 6457541.

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, 554069 + ... + 554331.

It is an arithmetic number, because the mean of its divisors is an integer number (3774870).

Almost surely, 2^145754600 is an apocalyptic number.

145754600 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 145754600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181193760).

145754600 is an abundant number, since it is smaller than the sum of its proper divisors (216632920).

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

145754600 is a wasteful number, since it uses less digits than its factorization.

145754600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 145754600 is about 12072.8869786808. The cubic root of 145754600 is about 526.2685574106.

The spelling of 145754600 in words is "one hundred forty-five million, seven hundred fifty-four thousand, six hundred".