132705556202610 has 96 divisors (see below), whose sum is σ = 345191690188800. Its totient is φ = 35372024348544.

The previous prime is 132705556202573. The next prime is 132705556202617. The reversal of 132705556202610 is 16202655507231.

It is a happy number.

132705556202610 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 0 + 5 + 5 + 5 + 6 + 20 + 2 + 610 = 666.

It is a super-2 number, since 2×132705556202610² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (132705556202617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2022948591 + ... + 2023014189.

It is an arithmetic number, because the mean of its divisors is an integer number (3595746772800).

Almost surely, 2^{132705556202610} is an apocalyptic number.

132705556202610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132705556202610 is an abundant number, since it is smaller than the sum of its proper divisors (212486133986190).

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

132705556202610 is a wasteful number, since it uses less digits than its factorization.

132705556202610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75512 (or 75509 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 132705556202610 in words is "one hundred thirty-two trillion, seven hundred five billion, five hundred fifty-six million, two hundred two thousand, six hundred ten".