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132153260511345 = 35193585112933967
BaseRepresentation
bin11110000011000101010100…
…001001100001000001110001
3122022220201122221112210022220
4132003011110021201001301
5114310144334142330340
61145022211511351253
736556520664105003
oct3603052411410161
9568821587483286
10132153260511345
113912097936a637
12129a422b682529
135897ccaa33158
14248c37545a373
151042922507ed0
hex783154261071

132153260511345 has 32 divisors (see below), whose sum is σ = 222580137953280. Its totient is φ = 66770306078400.

The previous prime is 132153260511329. The next prime is 132153260511353. The reversal of 132153260511345 is 543115062351231.

It is not a de Polignac number, because 132153260511345 - 24 = 132153260511329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132153260511297 and 132153260511306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3750552 + ... + 16684518.

It is an arithmetic number, because the mean of its divisors is an integer number (6955629311040).

Almost surely, 2132153260511345 is an apocalyptic number.

132153260511345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132153260511345 is a deficient number, since it is larger than the sum of its proper divisors (90426877441935).

132153260511345 is a wasteful number, since it uses less digits than its factorization.

132153260511345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12969845.

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 132153260511345 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, two hundred sixty million, five hundred eleven thousand, three hundred forty-five".

Divisors: 1 3 5 15 19 57 95 285 35851 107553 179255 537765 681169 2043507 3405845 10217535 12933967 38801901 64669835 194009505 245745373 737236119 1228726865 3686180595 463695650917 1391086952751 2318478254585 6955434763755 8810217367423 26430652102269 44051086837115 132153260511345