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132504008121 = 3267218112
BaseRepresentation
bin111101101100111011…
…0101011010110111001
3110200000102200001000100
41323121312223112321
54132332011224441
6140512124430013
712400400325402
oct1733166532671
9420012601010
10132504008121
1151216070531
122181b3a8309
13c6588a8444
1465adc809a9
1536a7ad1cb6
hex1ed9dab5b9

132504008121 has 27 divisors (see below), whose sum is σ = 194401296453. Its totient is φ = 86969508120.

The previous prime is 132504008099. The next prime is 132504008179. The reversal of 132504008121 is 121800405231.

The square root of 132504008121 is 364011.

It is a perfect power (a square), and thus also a powerful number.

132504008121 is a `hidden beast` number, since 1 + 3 + 250 + 400 + 8 + 1 + 2 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-132504008121 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132504008621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73165306 + ... + 73167116.

Almost surely, 2132504008121 is an apocalyptic number.

132504008121 is the 364011-st square number.

132504008121 is the 182006-th centered octagonal number.

It is an amenable number.

132504008121 is a deficient number, since it is larger than the sum of its proper divisors (61897288332).

132504008121 is an frugal number, since it uses more digits than its factorization.

132504008121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 132504008121 in words is "one hundred thirty-two billion, five hundred four million, eight thousand, one hundred twenty-one".

Divisors: 1 3 9 67 201 603 1811 4489 5433 13467 16299 40401 121337 364011 1092033 3279721 8129579 9839163 24388737 29517489 73166211 219741307 659223921 1977671763 14722667569 44168002707 132504008121