145625600 has 120 divisors (see below), whose sum is σ = 373452288. Its totient is φ = 56217600.

The previous prime is 145625573. The next prime is 145625681. The reversal of 145625600 is 6526541.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396617 + ... + 396983.

Almost surely, 2^145625600 is an apocalyptic number.

145625600 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 145625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186726144).

145625600 is an abundant number, since it is smaller than the sum of its proper divisors (227826688).

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

145625600 is an equidigital number, since it uses as much as digits as its factorization.

145625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 145625600 is about 12067.5432462453. The cubic root of 145625600 is about 526.1132537197.

The spelling of 145625600 in words is "one hundred forty-five million, six hundred twenty-five thousand, six hundred".