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135161374000 = 2453193350159
BaseRepresentation
bin111110111100000111…
…1101110010100110000
3110220212121222012200211
41331320033232110300
54203302302432000
6142031533153504
712523265502652
oct1757017562460
9426777865624
10135161374000
115235a087884
122224132b894
13c9902b53a3
146782b766d2
1537b10447ba
hex1f783ee530

135161374000 has 80 divisors (see below), whose sum is σ = 328514509440. Its totient is φ = 53784268800.

The previous prime is 135161373967. The next prime is 135161374001. The reversal of 135161374000 is 473161531.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (135161374001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210921 + ... + 561079.

It is an arithmetic number, because the mean of its divisors is an integer number (4106431368).

Almost surely, 2135161374000 is an apocalyptic number.

135161374000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135161374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164257254720).

135161374000 is an abundant number, since it is smaller than the sum of its proper divisors (193353135440).

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

135161374000 is a wasteful number, since it uses less digits than its factorization.

135161374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350375 (or 350359 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 135161374000 in words is "one hundred thirty-five billion, one hundred sixty-one million, three hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 772 965 1000 1544 1930 2000 3088 3860 4825 7720 9650 15440 19300 24125 38600 48250 77200 96500 193000 350159 386000 700318 1400636 1750795 2801272 3501590 5602544 7003180 8753975 14006360 17507950 28012720 35015900 43769875 67580687 70031800 87539750 135161374 140063600 175079500 270322748 337903435 350159000 540645496 675806870 700318000 1081290992 1351613740 1689517175 2703227480 3379034350 5406454960 6758068700 8447585875 13516137400 16895171750 27032274800 33790343500 67580687000 135161374000