137204481271725 has 108 divisors (see below), whose sum is σ = 292843126566900. Its totient is φ = 61192242316800.

The previous prime is 137204481271709. The next prime is 137204481271727. The reversal of 137204481271725 is 527172184402731.

137204481271725 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 0 + 448 + 1 + 27 + 172 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 64905887103561 + 72298594168164 = 8056419^2 + 8502858^2 .

It is not a de Polignac number, because 137204481271725 - 2⁴ = 137204481271709 is a prime.

It is a super-3 number, since 3×137204481271725³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137204481271727) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 151314450 + ... + 152218499.

It is an arithmetic number, because the mean of its divisors is an integer number (2711510431175).

Almost surely, 2^{137204481271725} is an apocalyptic number.

137204481271725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137204481271725 is an abundant number, since it is smaller than the sum of its proper divisors (155638645295175).

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

137204481271725 is a wasteful number, since it uses less digits than its factorization.

137204481271725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303533020 (or 303533005 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 137204481271725 in words is "one hundred thirty-seven trillion, two hundred four billion, four hundred eighty-one million, two hundred seventy-one thousand, seven hundred twenty-five".