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134992613800 = 235211442313873
BaseRepresentation
bin111110110111000101…
…1111101000110101000
3110220102212102022020001
41331232023331012220
54202431102120200
6142003104112344
712516146166502
oct1755613750650
9426385368201
10134992613800
11522828a1840
12221b49056b4
13c964348495
1467685a6d72
1537a130b76a
hex1f6e2fd1a8

134992613800 has 96 divisors (see below), whose sum is σ = 342492454080. Its totient is φ = 49073587200.

The previous prime is 134992613783. The next prime is 134992613843. The reversal of 134992613800 is 8316299431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9723664 + ... + 9737536.

It is an arithmetic number, because the mean of its divisors is an integer number (3567629730).

Almost surely, 2134992613800 is an apocalyptic number.

134992613800 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 134992613800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171246227040).

134992613800 is an abundant number, since it is smaller than the sum of its proper divisors (207499840280).

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

134992613800 is a wasteful number, since it uses less digits than its factorization.

134992613800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18323 (or 18314 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

It can be divided in two parts, 1349926 and 13800, that added together give a triangular number (1363726 = T1651).

The spelling of 134992613800 in words is "one hundred thirty-four billion, nine hundred ninety-two million, six hundred thirteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 4423 8846 13873 17692 22115 27746 35384 44230 48653 55492 69365 88460 97306 110575 110984 138730 152603 176920 194612 221150 243265 277460 305206 346825 389224 442300 486530 554920 610412 693650 763015 884600 973060 1216325 1220824 1387300 1526030 1946120 2432650 2774600 3052060 3815075 4865300 6104120 7630150 9730600 15260300 30520600 61360279 122720558 245441116 306801395 490882232 613602790 674963069 1227205580 1349926138 1534006975 2454411160 2699852276 3068013950 3374815345 5399704552 6136027900 6749630690 12272055800 13499261380 16874076725 26998522760 33748153450 67496306900 134992613800