145930636800 has 960 divisors, whose sum is σ = 585416905920. Its totient is φ = 35831808000.

The previous prime is 145930636771. The next prime is 145930636801. The reversal of 145930636800 is 8636039541.

145930636800 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 3 + 0 + 636 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145930636801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363916600 + ... + 363917000.

It is an arithmetic number, because the mean of its divisors is an integer number (609809277).

Almost surely, 2^145930636800 is an apocalyptic number.

145930636800 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 145930636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292708452960).

145930636800 is an abundant number, since it is smaller than the sum of its proper divisors (439486269120).

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

145930636800 is an frugal number, since it uses more digits than its factorization.

145930636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 145930636800 in words is "one hundred forty-five billion, nine hundred thirty million, six hundred thirty-six thousand, eight hundred".