145722600 has 144 divisors (see below), whose sum is σ = 496536300. Its totient is φ = 38292480.

The previous prime is 145722583. The next prime is 145722631. The reversal of 145722600 is 6227541.

145722600 is a `hidden beast` number, since 1 + 4 + 57 + 2 + 2 + 600 = 666.

145722600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16990884 + 128731716 = 4122^2 + 11346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130846 + ... + 131954.

Almost surely, 2^145722600 is an apocalyptic number.

145722600 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 145722600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248268150).

145722600 is an abundant number, since it is smaller than the sum of its proper divisors (350813700).

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

145722600 is a wasteful number, since it uses less digits than its factorization.

145722600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 145722600 is about 12071.5616222592. The cubic root of 145722600 is about 526.2300410129.

The spelling of 145722600 in words is "one hundred forty-five million, seven hundred twenty-two thousand, six hundred".