145432726800 has 240 divisors, whose sum is σ = 472934700480. Its totient is φ = 38198200320.

The previous prime is 145432726643. The next prime is 145432726819. The reversal of 145432726800 is 8627234541.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22625187 + ... + 22631613.

It is an arithmetic number, because the mean of its divisors is an integer number (1970561252).

Almost surely, 2^145432726800 is an apocalyptic number.

145432726800 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 145432726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236467350240).

145432726800 is an abundant number, since it is smaller than the sum of its proper divisors (327501973680).

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

145432726800 is a wasteful number, since it uses less digits than its factorization.

145432726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 145432726800 in words is "one hundred forty-five billion, four hundred thirty-two million, seven hundred twenty-six thousand, eight hundred".