145313457677355 has 96 divisors (see below), whose sum is σ = 258182884270080. Its totient is φ = 69734590182400.

The previous prime is 145313457677351. The next prime is 145313457677371. The reversal of 145313457677355 is 553776754313541.

It is not a de Polignac number, because 145313457677355 - 2² = 145313457677351 is a prime.

It is a super-2 number, since 2×145313457677355² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145313457677351) 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 95 ways as a sum of consecutive naturals, for example, 90266131 + ... + 91861859.

It is an arithmetic number, because the mean of its divisors is an integer number (2689405044480).

Almost surely, 2^{145313457677355} is an apocalyptic number.

145313457677355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145313457677355 is a deficient number, since it is larger than the sum of its proper divisors (112869426592725).

145313457677355 is a wasteful number, since it uses less digits than its factorization.

145313457677355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596273 (or 1596262 counting only the distinct ones).

The product of its digits is 555660000, while the sum is 66.

The spelling of 145313457677355 in words is "one hundred forty-five trillion, three hundred thirteen billion, four hundred fifty-seven million, six hundred seventy-seven thousand, three hundred fifty-five".