145932608640 has 768 divisors, whose sum is σ = 588328427520. Its totient is φ = 30113021952.

The previous prime is 145932608617. The next prime is 145932608641. The reversal of 145932608640 is 46806239541.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 145932608640.

It is not an unprimeable number, because it can be changed into a prime (145932608641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106753237 + ... + 106754603.

It is an arithmetic number, because the mean of its divisors is an integer number (766052640).

Almost surely, 2^145932608640 is an apocalyptic number.

145932608640 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 145932608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294164213760).

145932608640 is an abundant number, since it is smaller than the sum of its proper divisors (442395818880).

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

145932608640 is a wasteful number, since it uses less digits than its factorization.

145932608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 145932608640 in words is "one hundred forty-five billion, nine hundred thirty-two million, six hundred eight thousand, six hundred forty".