132838611504525 has 36 divisors (see below), whose sum is σ = 237929358049812. Its totient is φ = 70847067409920.

The previous prime is 132838611504497. The next prime is 132838611504553. The reversal of 132838611504525 is 525405116838231.

132838611504525 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 3 + 8 + 61 + 1 + 50 + 4 + 525 = 666.

It is an interprime number because it is at equal distance from previous prime (132838611504497) and next prime (132838611504553).

It can be written as a sum of positive squares in 6 ways, for example, as 15442990079049 + 117395621425476 = 3929757^2 + 10834926^2 .

It is not a de Polignac number, because 132838611504525 - 2¹⁵ = 132838611471757 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129231397 + ... + 130255253.

It is an arithmetic number, because the mean of its divisors is an integer number (6609148834717).

Almost surely, 2^{132838611504525} is an apocalyptic number.

132838611504525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132838611504525 is a deficient number, since it is larger than the sum of its proper divisors (105090746545287).

132838611504525 is a wasteful number, since it uses less digits than its factorization.

132838611504525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600510 (or 1600502 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 132838611504525 in words is "one hundred thirty-two trillion, eight hundred thirty-eight billion, six hundred eleven million, five hundred four thousand, five hundred twenty-five".