145830210624 has 224 divisors, whose sum is σ = 499205341440. Its totient is φ = 40879448064.

The previous prime is 145830210613. The next prime is 145830210653. The reversal of 145830210624 is 426012038541.

It is a happy number.

145830210624 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 3 + 0 + 21 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527352 + ... + 754824.

Almost surely, 2^145830210624 is an apocalyptic number.

145830210624 is a gapful number since it is divisible by the number (14) 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 145830210624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249602670720).

145830210624 is an abundant number, since it is smaller than the sum of its proper divisors (353375130816).

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

145830210624 is a wasteful number, since it uses less digits than its factorization.

145830210624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227554 (or 227538 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 145830210624 in words is "one hundred forty-five billion, eight hundred thirty million, two hundred ten thousand, six hundred twenty-four".