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135368280000 = 2633541773101
BaseRepresentation
bin111111000010010010…
…1000000011111000000
3110221102001022010101000
41332010211000133000
54204213234430000
6142104244012000
712531360252312
oct1760445003700
9427361263330
10135368280000
1152455957378
122229a691000
13c9c4119b85
1467a24357b2
1537c42b5000
hex1f849407c0

135368280000 has 1120 divisors, whose sum is σ = 539037702720. Its totient is φ = 33177600000.

The previous prime is 135368279989. The next prime is 135368280043. The reversal of 135368280000 is 82863531.

135368280000 is a `hidden beast` number, since 13 + 5 + 368 + 280 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1340279950 + ... + 1340280050.

Almost surely, 2135368280000 is an apocalyptic number.

135368280000 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 135368280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269518851360).

135368280000 is an abundant number, since it is smaller than the sum of its proper divisors (403669422720).

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

135368280000 is a wasteful number, since it uses less digits than its factorization.

135368280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 135368280000 in words is "one hundred thirty-five billion, three hundred sixty-eight million, two hundred eighty thousand".