137145456705 has 32 divisors (see below), whose sum is σ = 228727039104. Its totient is φ = 70105153536.

The previous prime is 137145456703. The next prime is 137145456733. The reversal of 137145456705 is 507654541731.

It is not a de Polignac number, because 137145456705 - 2¹ = 137145456703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137145456703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1806912 + ... + 1881281.

It is an arithmetic number, because the mean of its divisors is an integer number (7147719972).

Almost surely, 2^137145456705 is an apocalyptic number.

137145456705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137145456705 is a deficient number, since it is larger than the sum of its proper divisors (91581582399).

137145456705 is a wasteful number, since it uses less digits than its factorization.

137145456705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688305.

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 137145456705 in words is "one hundred thirty-seven billion, one hundred forty-five million, four hundred fifty-six thousand, seven hundred five".