145829331325440 has 1440 divisors, whose sum is σ = 642133106993664. Its totient is φ = 30359574282240.

The previous prime is 145829331325439. The next prime is 145829331325441. The reversal of 145829331325440 is 44523133928541.

It is a happy number.

145829331325440 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 2 + 93 + 3 + 1 + 3 + 2 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145829331325439) and next prime (145829331325441).

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (145829331325441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 594839367 + ... + 595084473.

Almost surely, 2^{145829331325440} is an apocalyptic number.

145829331325440 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 145829331325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321066553496832).

145829331325440 is an abundant number, since it is smaller than the sum of its proper divisors (496303775668224).

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

145829331325440 is a wasteful number, since it uses less digits than its factorization.

145829331325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245198 (or 245172 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 145829331325440 in words is "one hundred forty-five trillion, eight hundred twenty-nine billion, three hundred thirty-one million, three hundred twenty-five thousand, four hundred forty".