131926578345 has 48 divisors (see below), whose sum is σ = 231451084800. Its totient is φ = 69507398400.

The previous prime is 131926578307. The next prime is 131926578383. The reversal of 131926578345 is 543875629131.

It is a happy number.

131926578345 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 26 + 578 + 3 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (131926578307) and next prime (131926578383).

It is not a de Polignac number, because 131926578345 - 2⁸ = 131926578089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131926578291 and 131926578300.

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, 4595446 + ... + 4624064.

It is an arithmetic number, because the mean of its divisors is an integer number (4821897600).

Almost surely, 2^131926578345 is an apocalyptic number.

131926578345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131926578345 is a deficient number, since it is larger than the sum of its proper divisors (99524506455).

131926578345 is a wasteful number, since it uses less digits than its factorization.

131926578345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29870 (or 29867 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 131926578345 in words is "one hundred thirty-one billion, nine hundred twenty-six million, five hundred seventy-eight thousand, three hundred forty-five".