145454400 has 672 divisors, whose sum is σ = 670234880. Its totient is φ = 29859840.

The previous prime is 145454381. The next prime is 145454447. The reversal of 145454400 is 4454541.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 3931182 + ... + 3931218.

Almost surely, 2^145454400 is an apocalyptic number.

145454400 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 145454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335117440).

145454400 is an abundant number, since it is smaller than the sum of its proper divisors (524780480).

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

145454400 is a wasteful number, since it uses less digits than its factorization.

145454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 145454400 is about 12060.4477528821. The cubic root of 145454400 is about 525.9070035634.

Multiplying 145454400 by its reverse (4454541), we get a square (647932588430400 = 25454520²).

The spelling of 145454400 in words is "one hundred forty-five million, four hundred fifty-four thousand, four hundred".