145891361751936 has 64 divisors (see below), whose sum is σ = 389471286288000. Its totient is φ = 48386079751680.

The previous prime is 145891361751917. The next prime is 145891361751977. The reversal of 145891361751936 is 639157163198541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954510070 + ... + 954662901.

It is an arithmetic number, because the mean of its divisors is an integer number (6085488848250).

Almost surely, 2^{145891361751936} is an apocalyptic number.

145891361751936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145891361751936 is an abundant number, since it is smaller than the sum of its proper divisors (243579924536064).

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

145891361751936 is a wasteful number, since it uses less digits than its factorization.

145891361751936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909173187 (or 1909173175 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 69.

The spelling of 145891361751936 in words is "one hundred forty-five trillion, eight hundred ninety-one billion, three hundred sixty-one million, seven hundred fifty-one thousand, nine hundred thirty-six".