145582115680 has 48 divisors (see below), whose sum is σ = 355032526464. Its totient is φ = 56354365440.

The previous prime is 145582115639. The next prime is 145582115687. The reversal of 145582115680 is 86511285541.

It is a happy number.

145582115680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145582115680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145582115687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14670657 + ... + 14680576.

It is an arithmetic number, because the mean of its divisors is an integer number (7396510968).

Almost surely, 2^145582115680 is an apocalyptic number.

145582115680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145582115680 is an abundant number, since it is smaller than the sum of its proper divisors (209450410784).

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

145582115680 is a wasteful number, since it uses less digits than its factorization.

145582115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29351279 (or 29351271 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 46.

The spelling of 145582115680 in words is "one hundred forty-five billion, five hundred eighty-two million, one hundred fifteen thousand, six hundred eighty".