145338820271640 has 128 divisors (see below), whose sum is σ = 512960542200000. Its totient is φ = 36477194102784.

The previous prime is 145338820271627. The next prime is 145338820271719. The reversal of 145338820271640 is 46172028833541.

145338820271640 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 388 + 202 + 7 + 16 + 40 = 666.

It is a super-2 number, since 2×145338820271640² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3958010515 + ... + 3958047234.

Almost surely, 2^{145338820271640} is an apocalyptic number.

145338820271640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145338820271640 is an abundant number, since it is smaller than the sum of its proper divisors (367621721928360).

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

145338820271640 is a wasteful number, since it uses less digits than its factorization.

145338820271640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916057786 (or 7916057776 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 145338820271640 in words is "one hundred forty-five trillion, three hundred thirty-eight billion, eight hundred twenty million, two hundred seventy-one thousand, six hundred forty".