145341066624 has 256 divisors, whose sum is σ = 439657666560. Its totient is φ = 42220339200.

The previous prime is 145341066587. The next prime is 145341066641. The reversal of 145341066624 is 426660143541.

It is a super-2 number, since 2×145341066624² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 6333379 + ... + 6356285.

It is an arithmetic number, because the mean of its divisors is an integer number (1717412760).

Almost surely, 2^145341066624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145341066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219828833280).

145341066624 is an abundant number, since it is smaller than the sum of its proper divisors (294316599936).

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

145341066624 is a wasteful number, since it uses less digits than its factorization.

145341066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23009 (or 22997 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 145341066624 in words is "one hundred forty-five billion, three hundred forty-one million, sixty-six thousand, six hundred twenty-four".