145944900 has 108 divisors (see below), whose sum is σ = 472303104. Its totient is φ = 37656000.

The previous prime is 145944893. The next prime is 145944901. The reversal of 145944900 is 9449541.

It is a happy number.

145944900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145944901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25285 + ... + 30515.

Almost surely, 2^145944900 is an apocalyptic number.

145944900 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 145944900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236151552).

145944900 is an abundant number, since it is smaller than the sum of its proper divisors (326358204).

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

145944900 is a wasteful number, since it uses less digits than its factorization.

145944900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 145944900 is about 12080.7657042093. The cubic root of 145944900 is about 526.4974932443.

The spelling of 145944900 in words is "one hundred forty-five million, nine hundred forty-four thousand, nine hundred".