132761350215 has 224 divisors, whose sum is σ = 272703674880. Its totient is φ = 61478984448.

The previous prime is 132761350207. The next prime is 132761350217. The reversal of 132761350215 is 512053167231.

132761350215 is a `hidden beast` number, since 1 + 3 + 27 + 613 + 5 + 0 + 2 + 15 = 666.

It is not a de Polignac number, because 132761350215 - 2³ = 132761350207 is a prime.

It is a super-2 number, since 2×132761350215² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132761350215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132761350217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 150352164 + ... + 150353046.

It is an arithmetic number, because the mean of its divisors is an integer number (1217427120).

Almost surely, 2^132761350215 is an apocalyptic number.

132761350215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132761350215 is an abundant number, since it is smaller than the sum of its proper divisors (139942324665).

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

132761350215 is a wasteful number, since it uses less digits than its factorization.

132761350215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 132761350215 in words is "one hundred thirty-two billion, seven hundred sixty-one million, three hundred fifty thousand, two hundred fifteen".