145638937520 has 40 divisors (see below), whose sum is σ = 338649664320. Its totient is φ = 58248842240.

The previous prime is 145638937519. The next prime is 145638937523. The reversal of 145638937520 is 25739836541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (145638937523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622601 + ... + 823959.

It is an arithmetic number, because the mean of its divisors is an integer number (8466241608).

It is a 1-persistent number, because it is pandigital, but 2⋅145638937520 = 291277875040 is not.

Almost surely, 2^145638937520 is an apocalyptic number.

145638937520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145638937520 is an abundant number, since it is smaller than the sum of its proper divisors (193010726800).

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

145638937520 is a wasteful number, since it uses less digits than its factorization.

145638937520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210413 (or 210407 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 145638937520 in words is "one hundred forty-five billion, six hundred thirty-eight million, nine hundred thirty-seven thousand, five hundred twenty".