137526854125001 has 6 divisors (see below), whose sum is σ = 151165880980506. Its totient is φ = 125024412840800.

The previous prime is 137526854124973. The next prime is 137526854125043. The reversal of 137526854125001 is 100521458625731.

It can be written as a sum of positive squares in only one way, i.e., 82673574435001 + 54853279690000 = 9092501^2 + 7406300^2 .

It is not a de Polignac number, because 137526854125001 - 2¹⁰ = 137526854123977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137526854125901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 568292785520 + ... + 568292785761.

It is an arithmetic number, because the mean of its divisors is an integer number (25194313496751).

Almost surely, 2^{137526854125001} is an apocalyptic number.

137526854125001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137526854125001 is a deficient number, since it is larger than the sum of its proper divisors (13639026855505).

137526854125001 is a wasteful number, since it uses less digits than its factorization.

137526854125001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136585571303 (or 1136585571292 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 50.

The spelling of 137526854125001 in words is "one hundred thirty-seven trillion, five hundred twenty-six billion, eight hundred fifty-four million, one hundred twenty-five thousand, one".