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136778976 = 2533236883
BaseRepresentation
bin10000010011100…
…01010011100000
3100112101002111000
420021301103200
5240003411401
621323352000
73250413345
oct1011612340
9315332430
10136778976
1170232084
1239982600
1322450209
14142467cc
15c01c186
hex82714e0

136778976 has 96 divisors (see below), whose sum is σ = 416344320. Its totient is φ = 43604352.

The previous prime is 136778969. The next prime is 136778987. The reversal of 136778976 is 679877631.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16431 + ... + 23313.

It is an arithmetic number, because the mean of its divisors is an integer number (4336920).

Almost surely, 2136778976 is an apocalyptic number.

136778976 is a gapful number since it is divisible by the number (16) 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 136778976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208172160).

136778976 is an abundant number, since it is smaller than the sum of its proper divisors (279565344).

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

136778976 is a wasteful number, since it uses less digits than its factorization.

136778976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6925 (or 6911 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 136778976 is about 11695.2544222005. The cubic root of 136778976 is about 515.2362958753.

The spelling of 136778976 in words is "one hundred thirty-six million, seven hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 6883 9936 13766 19872 20649 27532 41298 55064 61947 82596 110128 123894 158309 165192 185841 220256 247788 316618 330384 371682 474927 495576 633236 660768 743364 949854 991152 1266472 1424781 1486728 1899708 1982304 2532944 2849562 2973456 3799416 4274343 5065888 5699124 5946912 7598832 8548686 11398248 15197664 17097372 22796496 34194744 45592992 68389488 136778976