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135135231630 = 235721073672341
BaseRepresentation
bin111110111011010101…
…1111111111010001110
3110220210210210001002220
41331312223333322032
54203224104403010
6142025201000210
712522530342100
oct1756653777216
9426723701086
10135135231630
1152346351713
1222234623066
13c987a61229
14677d4cd570
1537adacd970
hex1f76affe8e

135135231630 has 192 divisors, whose sum is σ = 382002158592. Its totient is φ = 30502967040.

The previous prime is 135135231613. The next prime is 135135231677. The reversal of 135135231630 is 36132531531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135135231591 and 135135231600.

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, 57724260 + ... + 57726600.

It is an arithmetic number, because the mean of its divisors is an integer number (1989594576).

Almost surely, 2135135231630 is an apocalyptic number.

135135231630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135135231630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191001079296).

135135231630 is an abundant number, since it is smaller than the sum of its proper divisors (246866926962).

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

135135231630 is a wasteful number, since it uses less digits than its factorization.

135135231630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The spelling of 135135231630 in words is "one hundred thirty-five billion, one hundred thirty-five million, two hundred thirty-one thousand, six hundred thirty".