132838840653345 has 32 divisors (see below), whose sum is σ = 236543188579200. Its totient is φ = 70731806789952.

The previous prime is 132838840653283. The next prime is 132838840653347. The reversal of 132838840653345 is 543356048838231.

132838840653345 is a `hidden beast` number, since 1 + 3 + 2 + 83 + 88 + 406 + 5 + 33 + 45 = 666.

It is not a de Polignac number, because 132838840653345 - 2¹⁶ = 132838840587809 is a prime.

It is a super-2 number, since 2×132838840653345² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132838840653347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802520355 + ... + 802685864.

It is an arithmetic number, because the mean of its divisors is an integer number (7391974643100).

Almost surely, 2^{132838840653345} is an apocalyptic number.

132838840653345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132838840653345 is a deficient number, since it is larger than the sum of its proper divisors (103704347925855).

132838840653345 is a wasteful number, since it uses less digits than its factorization.

132838840653345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605206846 (or 1605206840 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 132838840653345 in words is "one hundred thirty-two trillion, eight hundred thirty-eight billion, eight hundred forty million, six hundred fifty-three thousand, three hundred forty-five".