131753546652465 has 48 divisors (see below), whose sum is σ = 246255666209280. Its totient is φ = 64946549295360.

The previous prime is 131753546652439. The next prime is 131753546652521. The reversal of 131753546652465 is 564256645357131.

It is a happy number.

131753546652465 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 5 + 3 + 5 + 46 + 6 + 524 + 65 = 666.

It is not a de Polignac number, because 131753546652465 - 2⁶ = 131753546652401 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1879205377 + ... + 1879275486.

It is an arithmetic number, because the mean of its divisors is an integer number (5130326379360).

Almost surely, 2^{131753546652465} is an apocalyptic number.

131753546652465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131753546652465 is a deficient number, since it is larger than the sum of its proper divisors (114502119556815).

131753546652465 is a wasteful number, since it uses less digits than its factorization.

131753546652465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758480934 (or 3758480931 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 63.

The spelling of 131753546652465 in words is "one hundred thirty-one trillion, seven hundred fifty-three billion, five hundred forty-six million, six hundred fifty-two thousand, four hundred sixty-five".