145546400 has 72 divisors (see below), whose sum is σ = 363664224. Its totient is φ = 56851200.

The previous prime is 145546399. The next prime is 145546409. The reversal of 145546400 is 4645541.

It is not an unprimeable number, because it can be changed into a prime (145546409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32285 + ... + 36515.

It is an arithmetic number, because the mean of its divisors is an integer number (5050892).

Almost surely, 2^145546400 is an apocalyptic number.

145546400 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 145546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181832112).

145546400 is an abundant number, since it is smaller than the sum of its proper divisors (218117824).

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

145546400 is a wasteful number, since it uses less digits than its factorization.

145546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 145546400 is about 12064.2612703804. The cubic root of 145546400 is about 526.0178590321.

The spelling of 145546400 in words is "one hundred forty-five million, five hundred forty-six thousand, four hundred".