145317939624 has 1024 divisors, whose sum is σ = 521153740800. Its totient is φ = 36883123200.

The previous prime is 145317939589. The next prime is 145317939629. The reversal of 145317939624 is 426939713541.

145317939624 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 1 + 7 + 9 + 3 + 9 + 624 = 666.

It is a super-2 number, since 2×145317939624² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4898880) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (145317939629) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2046731509 + ... + 2046731579.

It is an arithmetic number, because the mean of its divisors is an integer number (508939200).

Almost surely, 2^145317939624 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 145317939624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260576870400).

145317939624 is an abundant number, since it is smaller than the sum of its proper divisors (375835801176).

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

145317939624 is a wasteful number, since it uses less digits than its factorization.

145317939624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 145317939624 in words is "one hundred forty-five billion, three hundred seventeen million, nine hundred thirty-nine thousand, six hundred twenty-four".