145301864900640 has 384 divisors, whose sum is σ = 526184899269120. Its totient is φ = 33015607984128.

The previous prime is 145301864900629. The next prime is 145301864900641. The reversal of 145301864900640 is 46009468103541.

It is a happy number.

It is a super-2 number, since 2×145301864900640² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145301864900641) 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 63 ways as a sum of consecutive naturals, for example, 482886556 + ... + 483187364.

It is an arithmetic number, because the mean of its divisors is an integer number (1370273175180).

Almost surely, 2^{145301864900640} is an apocalyptic number.

145301864900640 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 145301864900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263092449634560).

145301864900640 is an abundant number, since it is smaller than the sum of its proper divisors (380883034368480).

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

145301864900640 is a wasteful number, since it uses less digits than its factorization.

145301864900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301684 (or 301676 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 145301864900640 in words is "one hundred forty-five trillion, three hundred one billion, eight hundred sixty-four million, nine hundred thousand, six hundred forty".