145926400 has 81 divisors (see below), whose sum is σ = 363598473. Its totient is φ = 57984000.

The previous prime is 145926397. The next prime is 145926413. The reversal of 145926400 is 4629541.

The square root of 145926400 is 12080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52533504 + 93392896 = 7248^2 + 9664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 966325 + ... + 966475.

Almost surely, 2^145926400 is an apocalyptic number.

145926400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145926400 is the 12080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145926400

145926400 is an abundant number, since it is smaller than the sum of its proper divisors (217672073).

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

145926400 is an frugal number, since it uses more digits than its factorization.

145926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 145926400 is about 526.4752460008.

The spelling of 145926400 in words is "one hundred forty-five million, nine hundred twenty-six thousand, four hundred".