145577600 has 192 divisors, whose sum is σ = 421431360. Its totient is φ = 48660480.

The previous prime is 145577599. The next prime is 145577609. The reversal of 145577600 is 6775541.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (145577609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1500752 + ... + 1500848.

It is an arithmetic number, because the mean of its divisors is an integer number (2194955).

Almost surely, 2^145577600 is an apocalyptic number.

145577600 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 145577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210715680).

145577600 is an abundant number, since it is smaller than the sum of its proper divisors (275853760).

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

145577600 is an equidigital number, since it uses as much as digits as its factorization.

145577600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 145577600 is about 12065.5542765345. The cubic root of 145577600 is about 526.0554428877.

The spelling of 145577600 in words is "one hundred forty-five million, five hundred seventy-seven thousand, six hundred".