145832400 has 300 divisors, whose sum is σ = 599079712. Its totient is φ = 33281280.

The previous prime is 145832383. The next prime is 145832413. The reversal of 145832400 is 4238541.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226479 + ... + 227121.

Almost surely, 2^145832400 is an apocalyptic number.

145832400 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 145832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299539856).

145832400 is an abundant number, since it is smaller than the sum of its proper divisors (453247312).

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

145832400 is a wasteful number, since it uses less digits than its factorization.

145832400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145832400 is about 12076.1086447580. The cubic root of 145832400 is about 526.3621768939.

The spelling of 145832400 in words is "one hundred forty-five million, eight hundred thirty-two thousand, four hundred".