137375780828001 has 8 divisors (see below), whose sum is σ = 183168497939424. Its totient is φ = 91583458800960.

The previous prime is 137375780827973. The next prime is 137375780828029. The reversal of 137375780828001 is 100828087573731.

It is an interprime number because it is at equal distance from previous prime (137375780827973) and next prime (137375780828029).

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

It is not a de Polignac number, because 137375780828001 - 2⁹ = 137375780827489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137375780828401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97958811 + ... + 99351296.

It is an arithmetic number, because the mean of its divisors is an integer number (22896062242428).

Almost surely, 2^{137375780828001} is an apocalyptic number.

It is an amenable number.

137375780828001 is a deficient number, since it is larger than the sum of its proper divisors (45792717111423).

137375780828001 is a wasteful number, since it uses less digits than its factorization.

137375780828001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197542191.

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 137375780828001 in words is "one hundred thirty-seven trillion, three hundred seventy-five billion, seven hundred eighty million, eight hundred twenty-eight thousand, one".