132151464132345 has 96 divisors (see below), whose sum is σ = 265669142948352. Its totient is φ = 59521886678016.

The previous prime is 132151464132299. The next prime is 132151464132353. The reversal of 132151464132345 is 543231464151231.

132151464132345 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 51 + 464 + 132 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 132151464132345 - 2⁷ = 132151464132217 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132151464132345.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3946132 + ... + 16729461.

It is an arithmetic number, because the mean of its divisors is an integer number (2767386905712).

Almost surely, 2^{132151464132345} is an apocalyptic number.

132151464132345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132151464132345 is an abundant number, since it is smaller than the sum of its proper divisors (133517678816007).

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

132151464132345 is a wasteful number, since it uses less digits than its factorization.

132151464132345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20675911 (or 20675908 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 132151464132345 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, four hundred sixty-four million, one hundred thirty-two thousand, three hundred forty-five".