137458464001 has 8 divisors (see below), whose sum is σ = 137559331584. Its totient is φ = 137357634960.

The previous prime is 137458463953. The next prime is 137458464041. The reversal of 137458464001 is 100464854731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137458464001 - 2¹¹ = 137458461953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137458464041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11847135 + ... + 11858731.

It is an arithmetic number, because the mean of its divisors is an integer number (17194916448).

Almost surely, 2^137458464001 is an apocalyptic number.

It is an amenable number.

137458464001 is a deficient number, since it is larger than the sum of its proper divisors (100867583).

137458464001 is a wasteful number, since it uses less digits than its factorization.

137458464001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19271.

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 137458464001 in words is "one hundred thirty-seven billion, four hundred fifty-eight million, four hundred sixty-four thousand, one".