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135381350976 = 2633359209917
BaseRepresentation
bin111111000010101011…
…0110111101001000000
3110221102221220012101020
41332011112313221000
54204230111212401
6142105432105440
712531606332154
oct1760526675100
9427387805336
10135381350976
1152462274833
12222a2b35280
13c9c6a45491
1467a4079064
1537c54e7d36
hex1f855b7a40

135381350976 has 56 divisors (see below), whose sum is σ = 358304835840. Its totient is φ = 45113467392.

The previous prime is 135381350969. The next prime is 135381351023. The reversal of 135381350976 is 679053183531.

It is a super-2 number, since 2×1353813509762 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539970 + ... + 749886.

It is an arithmetic number, because the mean of its divisors is an integer number (6398300640).

Almost surely, 2135381350976 is an apocalyptic number.

135381350976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135381350976 is an abundant number, since it is smaller than the sum of its proper divisors (222923484864).

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

135381350976 is a wasteful number, since it uses less digits than its factorization.

135381350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213291 (or 213281 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 135381350976 in words is "one hundred thirty-five billion, three hundred eighty-one million, three hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 3359 6718 10077 13436 20154 26872 40308 53744 80616 107488 161232 209917 214976 322464 419834 629751 644928 839668 1259502 1679336 2519004 3358672 5038008 6717344 10076016 13434688 20152032 40304064 705111203 1410222406 2115333609 2820444812 4230667218 5640889624 8461334436 11281779248 16922668872 22563558496 33845337744 45127116992 67690675488 135381350976