131714555625 has 75 divisors (see below), whose sum is σ = 246022296883. Its totient is φ = 70204212000.

The previous prime is 131714555593. The next prime is 131714555659. The reversal of 131714555625 is 526555417131.

The square root of 131714555625 is 362925.

It is a perfect power (a square), and thus also a powerful number.

131714555625 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 14 + 5 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 86279075289 + 45435480336 = 293733^2 + 213156^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 131714555625 - 2⁵ = 131714555593 is a prime.

It is a super-3 number, since 3×131714555625³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 81657319 + ... + 81658931.

Almost surely, 2^131714555625 is an apocalyptic number.

131714555625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131714555625 is the 362925-th square number.

131714555625 is the 181463-rd centered octagonal number.

It is an amenable number.

131714555625 is a deficient number, since it is larger than the sum of its proper divisors (114307741258).

131714555625 is an frugal number, since it uses more digits than its factorization.

131714555625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 1621 counting only the distinct ones).

The product of its digits is 630000, while the sum is 45.

The spelling of 131714555625 in words is "one hundred thirty-one billion, seven hundred fourteen million, five hundred fifty-five thousand, six hundred twenty-five".