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132505354125 = 32531794671409
BaseRepresentation
bin111101101100111101…
…1110011111110001101
3110200000112012102101100
41323121323303332031
54132332332313000
6140512213333313
712400414632534
oct1733173637615
9420015172340
10132505354125
11512168aa831
122181b937239
13c658c59cb1
1465b011131b
1536a7c9aa00
hex1ed9ef3f8d

132505354125 has 96 divisors (see below), whose sum is σ = 240882595200. Its totient is φ = 70074470400.

The previous prime is 132505354097. The next prime is 132505354231. The reversal of 132505354125 is 521453505231.

132505354125 is a `hidden beast` number, since 1 + 32 + 50 + 535 + 41 + 2 + 5 = 666.

It is not a de Polignac number, because 132505354125 - 215 = 132505321357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132505354125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94041421 + ... + 94042829.

It is an arithmetic number, because the mean of its divisors is an integer number (2509193700).

Almost surely, 2132505354125 is an apocalyptic number.

132505354125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132505354125 is a deficient number, since it is larger than the sum of its proper divisors (108377241075).

132505354125 is a wasteful number, since it uses less digits than its factorization.

132505354125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 132505354125 its reverse (521453505231), we get a palindrome (653958859356).

The spelling of 132505354125 in words is "one hundred thirty-two billion, five hundred five million, three hundred fifty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 179 225 375 467 537 895 1125 1401 1409 1611 2335 2685 4203 4227 4475 7005 7045 8055 11675 12681 13425 21015 21135 22375 35025 35225 40275 58375 63405 67125 83593 105075 105675 175125 176125 201375 250779 252211 317025 417965 525375 528375 658003 752337 756633 1253895 1261055 1585125 1974009 2089825 2269899 3290015 3761685 3783165 5922027 6269475 6305275 9870045 10449125 11349495 16450075 18808425 18915825 29610135 31347375 31526375 49350225 56747475 82250375 94042125 94579125 117782537 148050675 246751125 283737375 353347611 588912685 740253375 1060042833 1766738055 2944563425 5300214165 8833690275 14722817125 26501070825 44168451375 132505354125