145720684800 has 864 divisors, whose sum is σ = 561151584000. Its totient is φ = 37414379520.

The previous prime is 145720684793. The next prime is 145720684801. The reversal of 145720684800 is 8486027541.

145720684800 is a `hidden beast` number, since 1 + 45 + 72 + 0 + 68 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (145720684801) 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, 405907021 + ... + 405907379.

It is an arithmetic number, because the mean of its divisors is an integer number (649481000).

Almost surely, 2^145720684800 is an apocalyptic number.

145720684800 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 145720684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280575792000).

145720684800 is an abundant number, since it is smaller than the sum of its proper divisors (415430899200).

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

145720684800 is an frugal number, since it uses more digits than its factorization.

145720684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 145720684800 in words is "one hundred forty-five billion, seven hundred twenty million, six hundred eighty-four thousand, eight hundred".