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135239892084 = 2233112331672383
BaseRepresentation
bin111110111110011101…
…1001111110001110100
3110221002002201100021000
41331330323033301310
54203432403021314
6142043420123300
712525241054443
oct1757473176164
9427062640230
10135239892084
115239a436660
1222263696530
13c9a36470ab
14678d374d5a
1537b7da4209
hex1f7cecfc74

135239892084 has 384 divisors, whose sum is σ = 418326773760. Its totient is φ = 37353571200.

The previous prime is 135239892079. The next prime is 135239892097. The reversal of 135239892084 is 480298932531.

135239892084 is a `hidden beast` number, since 1 + 3 + 523 + 98 + 9 + 20 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 135239892084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56750757 + ... + 56753139.

It is an arithmetic number, because the mean of its divisors is an integer number (1089392640).

Almost surely, 2135239892084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135239892084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209163386880).

135239892084 is an abundant number, since it is smaller than the sum of its proper divisors (283086881676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135239892084 is a wasteful number, since it uses less digits than its factorization.

135239892084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 135239892084 in words is "one hundred thirty-five billion, two hundred thirty-nine million, eight hundred ninety-two thousand, eighty-four".